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Finding the Fourth Proportional to 200,124.56, 276,144.84 and 114,094.64

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Solution

The fourth proportional to 200,124.56, 276,144.84 and 114,094.64 is: 157,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,124.56 : 276,144.84 = 114,094.64 : x
  2. Step 2: Convert to fraction form
    200,124.56/276,144.84 = 114,094.64/x
  3. Step 3: Cross multiply
    200,124.56x = 276,144.84 × 114,094.64
  4. Step 4: Simplify right side
    200,124.56x = 31,506,646,107.66
  5. Step 5: Solve for x
    x = 31,506,646,107.66/200,124.56
  6. Step 6: Final answer
    x = 157,435.18

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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.