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Finding the Fourth Proportional to 137,482.20, 206,223.14 and 37,643.16

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Solution

The fourth proportional to 137,482.20, 206,223.14 and 37,643.16 is: 56,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,482.20 : 206,223.14 = 37,643.16 : x
  2. Step 2: Convert to fraction form
    137,482.20/206,223.14 = 37,643.16/x
  3. Step 3: Cross multiply
    137,482.20x = 206,223.14 × 37,643.16
  4. Step 4: Simplify right side
    137,482.20x = 7,762,890,654.72
  5. Step 5: Solve for x
    x = 7,762,890,654.72/137,482.20
  6. Step 6: Final answer
    x = 56,464.70

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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.