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Finding the Fourth Proportional to 364,138.13, 546,207.19 and 114,820.13

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Solution

The fourth proportional to 364,138.13, 546,207.19 and 114,820.13 is: 172,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,138.13 : 546,207.19 = 114,820.13 : x
  2. Step 2: Convert to fraction form
    364,138.13/546,207.19 = 114,820.13/x
  3. Step 3: Cross multiply
    364,138.13x = 546,207.19 × 114,820.13
  4. Step 4: Simplify right side
    364,138.13x = 62,715,580,562.73
  5. Step 5: Solve for x
    x = 62,715,580,562.73/364,138.13
  6. Step 6: Final answer
    x = 172,230.19

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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.