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Finding the Fourth Proportional to 98,411.40, 147,617.10 and 28,297.80

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Solution

The fourth proportional to 98,411.40, 147,617.10 and 28,297.80 is: 42,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,411.40 : 147,617.10 = 28,297.80 : x
  2. Step 2: Convert to fraction form
    98,411.40/147,617.10 = 28,297.80/x
  3. Step 3: Cross multiply
    98,411.40x = 147,617.10 × 28,297.80
  4. Step 4: Simplify right side
    98,411.40x = 4,177,239,172.38
  5. Step 5: Solve for x
    x = 4,177,239,172.38/98,411.40
  6. Step 6: Final answer
    x = 42,446.70

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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.