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Finding the Fourth Proportional to 107,134.68, 147,830.32 and 59,388

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Solution

The fourth proportional to 107,134.68, 147,830.32 and 59,388 is: 81,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,134.68 : 147,830.32 = 59,388 : x
  2. Step 2: Convert to fraction form
    107,134.68/147,830.32 = 59,388/x
  3. Step 3: Cross multiply
    107,134.68x = 147,830.32 × 59,388
  4. Step 4: Simplify right side
    107,134.68x = 8,779,347,044.16
  5. Step 5: Solve for x
    x = 8,779,347,044.16/107,134.68
  6. Step 6: Final answer
    x = 81,946.83

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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.