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Finding the Fourth Proportional to 134,842.80, 202,345.20 and 55,948.80

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Solution

The fourth proportional to 134,842.80, 202,345.20 and 55,948.80 is: 83,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,842.80 : 202,345.20 = 55,948.80 : x
  2. Step 2: Convert to fraction form
    134,842.80/202,345.20 = 55,948.80/x
  3. Step 3: Cross multiply
    134,842.80x = 202,345.20 × 55,948.80
  4. Step 4: Simplify right side
    134,842.80x = 11,320,971,125.76
  5. Step 5: Solve for x
    x = 11,320,971,125.76/134,842.80
  6. Step 6: Final answer
    x = 83,956.81

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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.