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Finding the Fourth Proportional to 129,111.82, 193,308.51 and 65,795.44

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Solution

The fourth proportional to 129,111.82, 193,308.51 and 65,795.44 is: 98,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,111.82 : 193,308.51 = 65,795.44 : x
  2. Step 2: Convert to fraction form
    129,111.82/193,308.51 = 65,795.44/x
  3. Step 3: Cross multiply
    129,111.82x = 193,308.51 × 65,795.44
  4. Step 4: Simplify right side
    129,111.82x = 12,718,818,471.19
  5. Step 5: Solve for x
    x = 12,718,818,471.19/129,111.82
  6. Step 6: Final answer
    x = 98,510.10

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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.