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Finding the Fourth Proportional to 242,160.84, 363,237.61 and 108,947.02

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Solution

The fourth proportional to 242,160.84, 363,237.61 and 108,947.02 is: 163,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,160.84 : 363,237.61 = 108,947.02 : x
  2. Step 2: Convert to fraction form
    242,160.84/363,237.61 = 108,947.02/x
  3. Step 3: Cross multiply
    242,160.84x = 363,237.61 × 108,947.02
  4. Step 4: Simplify right side
    242,160.84x = 39,573,655,161.42
  5. Step 5: Solve for x
    x = 39,573,655,161.42/242,160.84
  6. Step 6: Final answer
    x = 163,418.89

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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.