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Finding the Fourth Proportional to 127,746.82, 176,296.06 and 71,158.22

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Solution

The fourth proportional to 127,746.82, 176,296.06 and 71,158.22 is: 98,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,746.82 : 176,296.06 = 71,158.22 : x
  2. Step 2: Convert to fraction form
    127,746.82/176,296.06 = 71,158.22/x
  3. Step 3: Cross multiply
    127,746.82x = 176,296.06 × 71,158.22
  4. Step 4: Simplify right side
    127,746.82x = 12,544,913,822.61
  5. Step 5: Solve for x
    x = 12,544,913,822.61/127,746.82
  6. Step 6: Final answer
    x = 98,201.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.