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Finding the Fourth Proportional to 243,876.54, 365,658.72 and 117,264.60

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Solution

The fourth proportional to 243,876.54, 365,658.72 and 117,264.60 is: 175,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,876.54 : 365,658.72 = 117,264.60 : x
  2. Step 2: Convert to fraction form
    243,876.54/365,658.72 = 117,264.60/x
  3. Step 3: Cross multiply
    243,876.54x = 365,658.72 × 117,264.60
  4. Step 4: Simplify right side
    243,876.54x = 42,878,823,537.31
  5. Step 5: Solve for x
    x = 42,878,823,537.31/243,876.54
  6. Step 6: Final answer
    x = 175,821.85

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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.