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Finding the Fourth Proportional to 257,707.41, 386,468.50 and 89,181.98

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Solution

The fourth proportional to 257,707.41, 386,468.50 and 89,181.98 is: 133,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,707.41 : 386,468.50 = 89,181.98 : x
  2. Step 2: Convert to fraction form
    257,707.41/386,468.50 = 89,181.98/x
  3. Step 3: Cross multiply
    257,707.41x = 386,468.50 × 89,181.98
  4. Step 4: Simplify right side
    257,707.41x = 34,466,026,037.63
  5. Step 5: Solve for x
    x = 34,466,026,037.63/257,707.41
  6. Step 6: Final answer
    x = 133,740.92

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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.