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Finding the Fourth Proportional to 99,468.80, 149,203.20 and 97,828.55

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Solution

The fourth proportional to 99,468.80, 149,203.20 and 97,828.55 is: 146,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,468.80 : 149,203.20 = 97,828.55 : x
  2. Step 2: Convert to fraction form
    99,468.80/149,203.20 = 97,828.55/x
  3. Step 3: Cross multiply
    99,468.80x = 149,203.20 × 97,828.55
  4. Step 4: Simplify right side
    99,468.80x = 14,596,332,711.36
  5. Step 5: Solve for x
    x = 14,596,332,711.36/99,468.80
  6. Step 6: Final answer
    x = 146,742.83

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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.