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Finding the Fourth Proportional to 202,954.40, 280,072.88 and 112,310.31

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Solution

The fourth proportional to 202,954.40, 280,072.88 and 112,310.31 is: 154,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,954.40 : 280,072.88 = 112,310.31 : x
  2. Step 2: Convert to fraction form
    202,954.40/280,072.88 = 112,310.31/x
  3. Step 3: Cross multiply
    202,954.40x = 280,072.88 × 112,310.31
  4. Step 4: Simplify right side
    202,954.40x = 31,455,071,975.39
  5. Step 5: Solve for x
    x = 31,455,071,975.39/202,954.40
  6. Step 6: Final answer
    x = 154,985.91

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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.