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Finding the Fourth Proportional to 127,538.64, 191,225.95 and 60,977.30

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Solution

The fourth proportional to 127,538.64, 191,225.95 and 60,977.30 is: 91,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,538.64 : 191,225.95 = 60,977.30 : x
  2. Step 2: Convert to fraction form
    127,538.64/191,225.95 = 60,977.30/x
  3. Step 3: Cross multiply
    127,538.64x = 191,225.95 × 60,977.30
  4. Step 4: Simplify right side
    127,538.64x = 11,660,441,012.36
  5. Step 5: Solve for x
    x = 11,660,441,012.36/127,538.64
  6. Step 6: Final answer
    x = 91,426.73

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Why These Related Problems?

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