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Finding the Fourth Proportional to 107,089.62, 147,784.54 and 59,343.76

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Solution

The fourth proportional to 107,089.62, 147,784.54 and 59,343.76 is: 81,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,089.62 : 147,784.54 = 59,343.76 : x
  2. Step 2: Convert to fraction form
    107,089.62/147,784.54 = 59,343.76/x
  3. Step 3: Cross multiply
    107,089.62x = 147,784.54 × 59,343.76
  4. Step 4: Simplify right side
    107,089.62x = 8,770,090,273.47
  5. Step 5: Solve for x
    x = 8,770,090,273.47/107,089.62
  6. Step 6: Final answer
    x = 81,894.87

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1.5x scale

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.