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Finding the Fourth Proportional to 98,151.61, 147,228.00 and 34,974.19

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Solution

The fourth proportional to 98,151.61, 147,228.00 and 34,974.19 is: 52,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,151.61 : 147,228.00 = 34,974.19 : x
  2. Step 2: Convert to fraction form
    98,151.61/147,228.00 = 34,974.19/x
  3. Step 3: Cross multiply
    98,151.61x = 147,228.00 × 34,974.19
  4. Step 4: Simplify right side
    98,151.61x = 5,149,180,600.34
  5. Step 5: Solve for x
    x = 5,149,180,600.34/98,151.61
  6. Step 6: Final answer
    x = 52,461.50

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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.