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Finding the Fourth Proportional to 106,476.40, 159,714.60 and 97,874.80

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Solution

The fourth proportional to 106,476.40, 159,714.60 and 97,874.80 is: 146,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,476.40 : 159,714.60 = 97,874.80 : x
  2. Step 2: Convert to fraction form
    106,476.40/159,714.60 = 97,874.80/x
  3. Step 3: Cross multiply
    106,476.40x = 159,714.60 × 97,874.80
  4. Step 4: Simplify right side
    106,476.40x = 15,632,034,532.08
  5. Step 5: Solve for x
    x = 15,632,034,532.08/106,476.40
  6. Step 6: Final answer
    x = 146,812.20

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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.