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Finding the Fourth Proportional to 223,925.96, 309,006.42 and 123,304.52

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Solution

The fourth proportional to 223,925.96, 309,006.42 and 123,304.52 is: 170,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,925.96 : 309,006.42 = 123,304.52 : x
  2. Step 2: Convert to fraction form
    223,925.96/309,006.42 = 123,304.52/x
  3. Step 3: Cross multiply
    223,925.96x = 309,006.42 × 123,304.52
  4. Step 4: Simplify right side
    223,925.96x = 38,101,888,295.02
  5. Step 5: Solve for x
    x = 38,101,888,295.02/223,925.96
  6. Step 6: Final answer
    x = 170,153.96

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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.