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Finding the Fourth Proportional to 242,472.49, 363,659.05 and 152,473.93

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Solution

The fourth proportional to 242,472.49, 363,659.05 and 152,473.93 is: 228,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,472.49 : 363,659.05 = 152,473.93 : x
  2. Step 2: Convert to fraction form
    242,472.49/363,659.05 = 152,473.93/x
  3. Step 3: Cross multiply
    242,472.49x = 363,659.05 × 152,473.93
  4. Step 4: Simplify right side
    242,472.49x = 55,448,523,815.01
  5. Step 5: Solve for x
    x = 55,448,523,815.01/242,472.49
  6. Step 6: Final answer
    x = 228,679.65

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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.