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Finding the Fourth Proportional to 140,462.30, 210,687.89 and 77,407.45

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Solution

The fourth proportional to 140,462.30, 210,687.89 and 77,407.45 is: 116,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,462.30 : 210,687.89 = 77,407.45 : x
  2. Step 2: Convert to fraction form
    140,462.30/210,687.89 = 77,407.45/x
  3. Step 3: Cross multiply
    140,462.30x = 210,687.89 × 77,407.45
  4. Step 4: Simplify right side
    140,462.30x = 16,308,811,397.02
  5. Step 5: Solve for x
    x = 16,308,811,397.02/140,462.30
  6. Step 6: Final answer
    x = 116,108.10

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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.