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Finding the Fourth Proportional to 70,147.20, 105,220.80 and 57,681.30

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Solution

The fourth proportional to 70,147.20, 105,220.80 and 57,681.30 is: 86,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,147.20 : 105,220.80 = 57,681.30 : x
  2. Step 2: Convert to fraction form
    70,147.20/105,220.80 = 57,681.30/x
  3. Step 3: Cross multiply
    70,147.20x = 105,220.80 × 57,681.30
  4. Step 4: Simplify right side
    70,147.20x = 6,069,272,531.04
  5. Step 5: Solve for x
    x = 6,069,272,531.04/70,147.20
  6. Step 6: Final answer
    x = 86,521.95

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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.