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Finding the Fourth Proportional to 101,760.32, 140,427.15 and 56,430.99

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Solution

The fourth proportional to 101,760.32, 140,427.15 and 56,430.99 is: 77,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,760.32 : 140,427.15 = 56,430.99 : x
  2. Step 2: Convert to fraction form
    101,760.32/140,427.15 = 56,430.99/x
  3. Step 3: Cross multiply
    101,760.32x = 140,427.15 × 56,430.99
  4. Step 4: Simplify right side
    101,760.32x = 7,924,443,097.38
  5. Step 5: Solve for x
    x = 7,924,443,097.38/101,760.32
  6. Step 6: Final answer
    x = 77,873.61

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Why These Related Problems?

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