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Finding the Fourth Proportional to 107,089.86, 147,784.88 and 59,344.01

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Solution

The fourth proportional to 107,089.86, 147,784.88 and 59,344.01 is: 81,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,089.86 : 147,784.88 = 59,344.01 : x
  2. Step 2: Convert to fraction form
    107,089.86/147,784.88 = 59,344.01/x
  3. Step 3: Cross multiply
    107,089.86x = 147,784.88 × 59,344.01
  4. Step 4: Simplify right side
    107,089.86x = 8,770,146,360.92
  5. Step 5: Solve for x
    x = 8,770,146,360.92/107,089.86
  6. Step 6: Final answer
    x = 81,895.21

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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.