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Finding the Fourth Proportional to 137,117.80, 205,523.10 and 70,532.20

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Solution

The fourth proportional to 137,117.80, 205,523.10 and 70,532.20 is: 105,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,117.80 : 205,523.10 = 70,532.20 : x
  2. Step 2: Convert to fraction form
    137,117.80/205,523.10 = 70,532.20/x
  3. Step 3: Cross multiply
    137,117.80x = 205,523.10 × 70,532.20
  4. Step 4: Simplify right side
    137,117.80x = 14,495,996,393.82
  5. Step 5: Solve for x
    x = 14,495,996,393.82/137,117.80
  6. Step 6: Final answer
    x = 105,719.29

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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.