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Finding the Fourth Proportional to 137,214.88, 205,740.30 and 52,905.12

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Solution

The fourth proportional to 137,214.88, 205,740.30 and 52,905.12 is: 79,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,214.88 : 205,740.30 = 52,905.12 : x
  2. Step 2: Convert to fraction form
    137,214.88/205,740.30 = 52,905.12/x
  3. Step 3: Cross multiply
    137,214.88x = 205,740.30 × 52,905.12
  4. Step 4: Simplify right side
    137,214.88x = 10,884,715,260.34
  5. Step 5: Solve for x
    x = 10,884,715,260.34/137,214.88
  6. Step 6: Final answer
    x = 79,326.06

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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.