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Finding the Fourth Proportional to 107,089.29, 147,779.28 and 61,769.19

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Solution

The fourth proportional to 107,089.29, 147,779.28 and 61,769.19 is: 85,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,089.29 : 147,779.28 = 61,769.19 : x
  2. Step 2: Convert to fraction form
    107,089.29/147,779.28 = 61,769.19/x
  3. Step 3: Cross multiply
    107,089.29x = 147,779.28 × 61,769.19
  4. Step 4: Simplify right side
    107,089.29x = 9,128,206,424.38
  5. Step 5: Solve for x
    x = 9,128,206,424.38/107,089.29
  6. Step 6: Final answer
    x = 85,239.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.