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Finding the Fourth Proportional to 257,639.26, 386,461.36 and 97,672.18

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Solution

The fourth proportional to 257,639.26, 386,461.36 and 97,672.18 is: 146,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,639.26 : 386,461.36 = 97,672.18 : x
  2. Step 2: Convert to fraction form
    257,639.26/386,461.36 = 97,672.18/x
  3. Step 3: Cross multiply
    257,639.26x = 386,461.36 × 97,672.18
  4. Step 4: Simplify right side
    257,639.26x = 37,746,523,516.96
  5. Step 5: Solve for x
    x = 37,746,523,516.96/257,639.26
  6. Step 6: Final answer
    x = 146,509.21

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