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Finding the Fourth Proportional to 203,476.34, 280,783.64 and 112,828.97

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Solution

The fourth proportional to 203,476.34, 280,783.64 and 112,828.97 is: 155,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,476.34 : 280,783.64 = 112,828.97 : x
  2. Step 2: Convert to fraction form
    203,476.34/280,783.64 = 112,828.97/x
  3. Step 3: Cross multiply
    203,476.34x = 280,783.64 × 112,828.97
  4. Step 4: Simplify right side
    203,476.34x = 31,680,528,894.05
  5. Step 5: Solve for x
    x = 31,680,528,894.05/203,476.34
  6. Step 6: Final answer
    x = 155,696.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.