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Finding the Fourth Proportional to 127,950.32, 191,948.16 and 61,510.88

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Solution

The fourth proportional to 127,950.32, 191,948.16 and 61,510.88 is: 92,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,950.32 : 191,948.16 = 61,510.88 : x
  2. Step 2: Convert to fraction form
    127,950.32/191,948.16 = 61,510.88/x
  3. Step 3: Cross multiply
    127,950.32x = 191,948.16 × 61,510.88
  4. Step 4: Simplify right side
    127,950.32x = 11,806,900,235.98
  5. Step 5: Solve for x
    x = 11,806,900,235.98/127,950.32
  6. Step 6: Final answer
    x = 92,277.22

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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.