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Finding the Fourth Proportional to 127,429, 191,166.56 and 52,507.48

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Solution

The fourth proportional to 127,429, 191,166.56 and 52,507.48 is: 78,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,429 : 191,166.56 = 52,507.48 : x
  2. Step 2: Convert to fraction form
    127,429/191,166.56 = 52,507.48/x
  3. Step 3: Cross multiply
    127,429x = 191,166.56 × 52,507.48
  4. Step 4: Simplify right side
    127,429x = 10,037,674,325.87
  5. Step 5: Solve for x
    x = 10,037,674,325.87/127,429
  6. Step 6: Final answer
    x = 78,770.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.