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Finding the Fourth Proportional to 280,985.38, 387,751.95 and 153,658.24

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Solution

The fourth proportional to 280,985.38, 387,751.95 and 153,658.24 is: 212,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,985.38 : 387,751.95 = 153,658.24 : x
  2. Step 2: Convert to fraction form
    280,985.38/387,751.95 = 153,658.24/x
  3. Step 3: Cross multiply
    280,985.38x = 387,751.95 × 153,658.24
  4. Step 4: Simplify right side
    280,985.38x = 59,581,282,193.57
  5. Step 5: Solve for x
    x = 59,581,282,193.57/280,985.38
  6. Step 6: Final answer
    x = 212,044.07

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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.