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Finding the Fourth Proportional to 137,276.76, 205,866.88 and 41,185.32

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Solution

The fourth proportional to 137,276.76, 205,866.88 and 41,185.32 is: 61,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,276.76 : 205,866.88 = 41,185.32 : x
  2. Step 2: Convert to fraction form
    137,276.76/205,866.88 = 41,185.32/x
  3. Step 3: Cross multiply
    137,276.76x = 205,866.88 × 41,185.32
  4. Step 4: Simplify right side
    137,276.76x = 8,478,693,330.20
  5. Step 5: Solve for x
    x = 8,478,693,330.20/137,276.76
  6. Step 6: Final answer
    x = 61,763.50

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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.