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Finding the Fourth Proportional to 99,216, 148,824 and 62,305.92

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Solution

The fourth proportional to 99,216, 148,824 and 62,305.92 is: 93,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,216 : 148,824 = 62,305.92 : x
  2. Step 2: Convert to fraction form
    99,216/148,824 = 62,305.92/x
  3. Step 3: Cross multiply
    99,216x = 148,824 × 62,305.92
  4. Step 4: Simplify right side
    99,216x = 9,272,616,238.08
  5. Step 5: Solve for x
    x = 9,272,616,238.08/99,216
  6. Step 6: Final answer
    x = 93,458.88

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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.