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Finding the Fourth Proportional to 137,164.48, 205,763.28 and 48,399.76

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Solution

The fourth proportional to 137,164.48, 205,763.28 and 48,399.76 is: 72,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,164.48 : 205,763.28 = 48,399.76 : x
  2. Step 2: Convert to fraction form
    137,164.48/205,763.28 = 48,399.76/x
  3. Step 3: Cross multiply
    137,164.48x = 205,763.28 × 48,399.76
  4. Step 4: Simplify right side
    137,164.48x = 9,958,893,368.81
  5. Step 5: Solve for x
    x = 9,958,893,368.81/137,164.48
  6. Step 6: Final answer
    x = 72,605.48

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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.