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Finding the Fourth Proportional to 142,769.40, 214,154.10 and 101,297.40

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Solution

The fourth proportional to 142,769.40, 214,154.10 and 101,297.40 is: 151,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,769.40 : 214,154.10 = 101,297.40 : x
  2. Step 2: Convert to fraction form
    142,769.40/214,154.10 = 101,297.40/x
  3. Step 3: Cross multiply
    142,769.40x = 214,154.10 × 101,297.40
  4. Step 4: Simplify right side
    142,769.40x = 21,693,253,529.34
  5. Step 5: Solve for x
    x = 21,693,253,529.34/142,769.40
  6. Step 6: Final answer
    x = 151,946.10

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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.