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Finding the Fourth Proportional to 153,538.92, 230,264.64 and 97,294.14

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Solution

The fourth proportional to 153,538.92, 230,264.64 and 97,294.14 is: 145,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,538.92 : 230,264.64 = 97,294.14 : x
  2. Step 2: Convert to fraction form
    153,538.92/230,264.64 = 97,294.14/x
  3. Step 3: Cross multiply
    153,538.92x = 230,264.64 × 97,294.14
  4. Step 4: Simplify right side
    153,538.92x = 22,403,400,121.21
  5. Step 5: Solve for x
    x = 22,403,400,121.21/153,538.92
  6. Step 6: Final answer
    x = 145,913.49

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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.