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Finding the Fourth Proportional to 160,102.62, 240,024.33 and 66,678.30

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Solution

The fourth proportional to 160,102.62, 240,024.33 and 66,678.30 is: 99,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,102.62 : 240,024.33 = 66,678.30 : x
  2. Step 2: Convert to fraction form
    160,102.62/240,024.33 = 66,678.30/x
  3. Step 3: Cross multiply
    160,102.62x = 240,024.33 × 66,678.30
  4. Step 4: Simplify right side
    160,102.62x = 16,004,414,283.04
  5. Step 5: Solve for x
    x = 16,004,414,283.04/160,102.62
  6. Step 6: Final answer
    x = 99,963.48

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1.5x scale

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.