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Finding the Fourth Proportional to 149,159.79, 223,732.40 and 55,658.25

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Solution

The fourth proportional to 149,159.79, 223,732.40 and 55,658.25 is: 83,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,159.79 : 223,732.40 = 55,658.25 : x
  2. Step 2: Convert to fraction form
    149,159.79/223,732.40 = 55,658.25/x
  3. Step 3: Cross multiply
    149,159.79x = 223,732.40 × 55,658.25
  4. Step 4: Simplify right side
    149,159.79x = 12,452,553,574.01
  5. Step 5: Solve for x
    x = 12,452,553,574.01/149,159.79
  6. Step 6: Final answer
    x = 83,484.65

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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.