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Finding the Fourth Proportional to 107,089.76, 147,784.74 and 59,343.90

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Solution

The fourth proportional to 107,089.76, 147,784.74 and 59,343.90 is: 81,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,089.76 : 147,784.74 = 59,343.90 : x
  2. Step 2: Convert to fraction form
    107,089.76/147,784.74 = 59,343.90/x
  3. Step 3: Cross multiply
    107,089.76x = 147,784.74 × 59,343.90
  4. Step 4: Simplify right side
    107,089.76x = 8,770,123,497.55
  5. Step 5: Solve for x
    x = 8,770,123,497.55/107,089.76
  6. Step 6: Final answer
    x = 81,895.07

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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.