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Finding the Fourth Proportional to 107,299.59, 148,039.16 and 61,971.59

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Solution

The fourth proportional to 107,299.59, 148,039.16 and 61,971.59 is: 85,500.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,299.59 : 148,039.16 = 61,971.59 : x
  2. Step 2: Convert to fraction form
    107,299.59/148,039.16 = 61,971.59/x
  3. Step 3: Cross multiply
    107,299.59x = 148,039.16 × 61,971.59
  4. Step 4: Simplify right side
    107,299.59x = 9,174,221,077.41
  5. Step 5: Solve for x
    x = 9,174,221,077.41/107,299.59
  6. Step 6: Final answer
    x = 85,500.99

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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.