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Finding the Fourth Proportional to 238,601.08, 357,639.14 and 98,283.16

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Solution

The fourth proportional to 238,601.08, 357,639.14 and 98,283.16 is: 147,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,601.08 : 357,639.14 = 98,283.16 : x
  2. Step 2: Convert to fraction form
    238,601.08/357,639.14 = 98,283.16/x
  3. Step 3: Cross multiply
    238,601.08x = 357,639.14 × 98,283.16
  4. Step 4: Simplify right side
    238,601.08x = 35,149,904,818.88
  5. Step 5: Solve for x
    x = 35,149,904,818.88/238,601.08
  6. Step 6: Final answer
    x = 147,316.62

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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.