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Finding the Fourth Proportional to 137,365.38, 205,780.74 and 101,276.10

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Solution

The fourth proportional to 137,365.38, 205,780.74 and 101,276.10 is: 151,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,365.38 : 205,780.74 = 101,276.10 : x
  2. Step 2: Convert to fraction form
    137,365.38/205,780.74 = 101,276.10/x
  3. Step 3: Cross multiply
    137,365.38x = 205,780.74 × 101,276.10
  4. Step 4: Simplify right side
    137,365.38x = 20,840,670,802.31
  5. Step 5: Solve for x
    x = 20,840,670,802.31/137,365.38
  6. Step 6: Final answer
    x = 151,717.05

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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.