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Finding the Fourth Proportional to 202,084.78, 303,127.14 and 113,345.20

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Solution

The fourth proportional to 202,084.78, 303,127.14 and 113,345.20 is: 170,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,084.78 : 303,127.14 = 113,345.20 : x
  2. Step 2: Convert to fraction form
    202,084.78/303,127.14 = 113,345.20/x
  3. Step 3: Cross multiply
    202,084.78x = 303,127.14 × 113,345.20
  4. Step 4: Simplify right side
    202,084.78x = 34,358,006,592.09
  5. Step 5: Solve for x
    x = 34,358,006,592.09/202,084.78
  6. Step 6: Final answer
    x = 170,017.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.