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Finding the Fourth Proportional to 140,130.96, 193,384.84 and 76,472.88

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Solution

The fourth proportional to 140,130.96, 193,384.84 and 76,472.88 is: 105,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,130.96 : 193,384.84 = 76,472.88 : x
  2. Step 2: Convert to fraction form
    140,130.96/193,384.84 = 76,472.88/x
  3. Step 3: Cross multiply
    140,130.96x = 193,384.84 × 76,472.88
  4. Step 4: Simplify right side
    140,130.96x = 14,788,695,663.14
  5. Step 5: Solve for x
    x = 14,788,695,663.14/140,130.96
  6. Step 6: Final answer
    x = 105,534.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.