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Finding the Fourth Proportional to 106,750.58, 147,311.87 and 61,435.53

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Solution

The fourth proportional to 106,750.58, 147,311.87 and 61,435.53 is: 84,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,750.58 : 147,311.87 = 61,435.53 : x
  2. Step 2: Convert to fraction form
    106,750.58/147,311.87 = 61,435.53/x
  3. Step 3: Cross multiply
    106,750.58x = 147,311.87 × 61,435.53
  4. Step 4: Simplify right side
    106,750.58x = 9,050,182,501.56
  5. Step 5: Solve for x
    x = 9,050,182,501.56/106,750.58
  6. Step 6: Final answer
    x = 84,778.77

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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.