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Finding the Fourth Proportional to 137,214.20, 205,529.70 and 113,886.20

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Solution

The fourth proportional to 137,214.20, 205,529.70 and 113,886.20 is: 170,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,214.20 : 205,529.70 = 113,886.20 : x
  2. Step 2: Convert to fraction form
    137,214.20/205,529.70 = 113,886.20/x
  3. Step 3: Cross multiply
    137,214.20x = 205,529.70 × 113,886.20
  4. Step 4: Simplify right side
    137,214.20x = 23,406,996,520.14
  5. Step 5: Solve for x
    x = 23,406,996,520.14/137,214.20
  6. Step 6: Final answer
    x = 170,587.28

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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.