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Finding the Fourth Proportional to 371,864.16, 513,172.32 and 202,098.32

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Solution

The fourth proportional to 371,864.16, 513,172.32 and 202,098.32 is: 278,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,864.16 : 513,172.32 = 202,098.32 : x
  2. Step 2: Convert to fraction form
    371,864.16/513,172.32 = 202,098.32/x
  3. Step 3: Cross multiply
    371,864.16x = 513,172.32 × 202,098.32
  4. Step 4: Simplify right side
    371,864.16x = 103,711,263,742.50
  5. Step 5: Solve for x
    x = 103,711,263,742.50/371,864.16
  6. Step 6: Final answer
    x = 278,895.56

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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.