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Finding the Fourth Proportional to 102,311.29, 153,467.95 and 63,854.52

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Solution

The fourth proportional to 102,311.29, 153,467.95 and 63,854.52 is: 95,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,311.29 : 153,467.95 = 63,854.52 : x
  2. Step 2: Convert to fraction form
    102,311.29/153,467.95 = 63,854.52/x
  3. Step 3: Cross multiply
    102,311.29x = 153,467.95 × 63,854.52
  4. Step 4: Simplify right side
    102,311.29x = 9,799,622,282.63
  5. Step 5: Solve for x
    x = 9,799,622,282.63/102,311.29
  6. Step 6: Final answer
    x = 95,782.41

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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.