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Finding the Fourth Proportional to 242,302.80, 363,466.56 and 73,810

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Solution

The fourth proportional to 242,302.80, 363,466.56 and 73,810 is: 110,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,302.80 : 363,466.56 = 73,810 : x
  2. Step 2: Convert to fraction form
    242,302.80/363,466.56 = 73,810/x
  3. Step 3: Cross multiply
    242,302.80x = 363,466.56 × 73,810
  4. Step 4: Simplify right side
    242,302.80x = 26,827,466,793.60
  5. Step 5: Solve for x
    x = 26,827,466,793.60/242,302.80
  6. Step 6: Final answer
    x = 110,718.77

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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.