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Finding the Fourth Proportional to 107,302.59, 148,084.65 and 61,982.48

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Solution

The fourth proportional to 107,302.59, 148,084.65 and 61,982.48 is: 85,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,302.59 : 148,084.65 = 61,982.48 : x
  2. Step 2: Convert to fraction form
    107,302.59/148,084.65 = 61,982.48/x
  3. Step 3: Cross multiply
    107,302.59x = 148,084.65 × 61,982.48
  4. Step 4: Simplify right side
    107,302.59x = 9,178,653,116.51
  5. Step 5: Solve for x
    x = 9,178,653,116.51/107,302.59
  6. Step 6: Final answer
    x = 85,539.90

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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.