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Finding the Fourth Proportional to 242,690.10, 364,035.15 and 137,714.10

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Solution

The fourth proportional to 242,690.10, 364,035.15 and 137,714.10 is: 206,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,690.10 : 364,035.15 = 137,714.10 : x
  2. Step 2: Convert to fraction form
    242,690.10/364,035.15 = 137,714.10/x
  3. Step 3: Cross multiply
    242,690.10x = 364,035.15 × 137,714.10
  4. Step 4: Simplify right side
    242,690.10x = 50,132,773,050.62
  5. Step 5: Solve for x
    x = 50,132,773,050.62/242,690.10
  6. Step 6: Final answer
    x = 206,571.15

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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.