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Finding the Fourth Proportional to 193,568.16, 290,386.56 and 88,397.76

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Solution

The fourth proportional to 193,568.16, 290,386.56 and 88,397.76 is: 132,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,568.16 : 290,386.56 = 88,397.76 : x
  2. Step 2: Convert to fraction form
    193,568.16/290,386.56 = 88,397.76/x
  3. Step 3: Cross multiply
    193,568.16x = 290,386.56 × 88,397.76
  4. Step 4: Simplify right side
    193,568.16x = 25,669,521,438.11
  5. Step 5: Solve for x
    x = 25,669,521,438.11/193,568.16
  6. Step 6: Final answer
    x = 132,612.31

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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.