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Finding the Fourth Proportional to 107,070.71, 160,499.12 and 71,561.93

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Solution

The fourth proportional to 107,070.71, 160,499.12 and 71,561.93 is: 107,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,070.71 : 160,499.12 = 71,561.93 : x
  2. Step 2: Convert to fraction form
    107,070.71/160,499.12 = 71,561.93/x
  3. Step 3: Cross multiply
    107,070.71x = 160,499.12 × 71,561.93
  4. Step 4: Simplify right side
    107,070.71x = 11,485,625,630.20
  5. Step 5: Solve for x
    x = 11,485,625,630.20/107,070.71
  6. Step 6: Final answer
    x = 107,271.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.