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Finding the Fourth Proportional to 97,319.71, 134,217.29 and 63,315.77

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Solution

The fourth proportional to 97,319.71, 134,217.29 and 63,315.77 is: 87,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,319.71 : 134,217.29 = 63,315.77 : x
  2. Step 2: Convert to fraction form
    97,319.71/134,217.29 = 63,315.77/x
  3. Step 3: Cross multiply
    97,319.71x = 134,217.29 × 63,315.77
  4. Step 4: Simplify right side
    97,319.71x = 8,498,070,747.08
  5. Step 5: Solve for x
    x = 8,498,070,747.08/97,319.71
  6. Step 6: Final answer
    x = 87,321.17

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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.