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Finding the Fourth Proportional to 178,142.89, 245,841.16 and 101,660.46

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Solution

The fourth proportional to 178,142.89, 245,841.16 and 101,660.46 is: 140,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,142.89 : 245,841.16 = 101,660.46 : x
  2. Step 2: Convert to fraction form
    178,142.89/245,841.16 = 101,660.46/x
  3. Step 3: Cross multiply
    178,142.89x = 245,841.16 × 101,660.46
  4. Step 4: Simplify right side
    178,142.89x = 24,992,325,412.53
  5. Step 5: Solve for x
    x = 24,992,325,412.53/178,142.89
  6. Step 6: Final answer
    x = 140,293.70

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1.5x scale

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.