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Finding the Fourth Proportional to 172,077.60, 257,606.10 and 127,900.20

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Solution

The fourth proportional to 172,077.60, 257,606.10 and 127,900.20 is: 191,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,077.60 : 257,606.10 = 127,900.20 : x
  2. Step 2: Convert to fraction form
    172,077.60/257,606.10 = 127,900.20/x
  3. Step 3: Cross multiply
    172,077.60x = 257,606.10 × 127,900.20
  4. Step 4: Simplify right side
    172,077.60x = 32,947,871,711.22
  5. Step 5: Solve for x
    x = 32,947,871,711.22/172,077.60
  6. Step 6: Final answer
    x = 191,471.01

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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.