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Finding the Fourth Proportional to 127,954.56, 191,931.84 and 65,585.28

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Solution

The fourth proportional to 127,954.56, 191,931.84 and 65,585.28 is: 98,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,954.56 : 191,931.84 = 65,585.28 : x
  2. Step 2: Convert to fraction form
    127,954.56/191,931.84 = 65,585.28/x
  3. Step 3: Cross multiply
    127,954.56x = 191,931.84 × 65,585.28
  4. Step 4: Simplify right side
    127,954.56x = 12,587,903,467.32
  5. Step 5: Solve for x
    x = 12,587,903,467.32/127,954.56
  6. Step 6: Final answer
    x = 98,377.92

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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.