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Finding the Fourth Proportional to 242,708.44, 334,931.94 and 140,752.12

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Solution

The fourth proportional to 242,708.44, 334,931.94 and 140,752.12 is: 194,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,708.44 : 334,931.94 = 140,752.12 : x
  2. Step 2: Convert to fraction form
    242,708.44/334,931.94 = 140,752.12/x
  3. Step 3: Cross multiply
    242,708.44x = 334,931.94 × 140,752.12
  4. Step 4: Simplify right side
    242,708.44x = 47,142,380,610.71
  5. Step 5: Solve for x
    x = 47,142,380,610.71/242,708.44
  6. Step 6: Final answer
    x = 194,234.62

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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.