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Finding the Fourth Proportional to 159,460, 220,038.30 and 98,196.46

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Solution

The fourth proportional to 159,460, 220,038.30 and 98,196.46 is: 135,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,460 : 220,038.30 = 98,196.46 : x
  2. Step 2: Convert to fraction form
    159,460/220,038.30 = 98,196.46/x
  3. Step 3: Cross multiply
    159,460x = 220,038.30 × 98,196.46
  4. Step 4: Simplify right side
    159,460x = 21,606,982,124.42
  5. Step 5: Solve for x
    x = 21,606,982,124.42/159,460
  6. Step 6: Final answer
    x = 135,500.95

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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.