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Finding the Fourth Proportional to 107,302.65, 160,953.99 and 40,742.83

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Solution

The fourth proportional to 107,302.65, 160,953.99 and 40,742.83 is: 61,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,302.65 : 160,953.99 = 40,742.83 : x
  2. Step 2: Convert to fraction form
    107,302.65/160,953.99 = 40,742.83/x
  3. Step 3: Cross multiply
    107,302.65x = 160,953.99 × 40,742.83
  4. Step 4: Simplify right side
    107,302.65x = 6,557,721,052.39
  5. Step 5: Solve for x
    x = 6,557,721,052.39/107,302.65
  6. Step 6: Final answer
    x = 61,114.25

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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.