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Finding the Fourth Proportional to 137,538.40, 206,307.60 and 44,053.60

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Solution

The fourth proportional to 137,538.40, 206,307.60 and 44,053.60 is: 66,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,538.40 : 206,307.60 = 44,053.60 : x
  2. Step 2: Convert to fraction form
    137,538.40/206,307.60 = 44,053.60/x
  3. Step 3: Cross multiply
    137,538.40x = 206,307.60 × 44,053.60
  4. Step 4: Simplify right side
    137,538.40x = 9,088,592,487.36
  5. Step 5: Solve for x
    x = 9,088,592,487.36/137,538.40
  6. Step 6: Final answer
    x = 66,080.40

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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.