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Finding the Fourth Proportional to 133,026.10, 199,053.15 and 98,034.10

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Solution

The fourth proportional to 133,026.10, 199,053.15 and 98,034.10 is: 146,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026.10 : 199,053.15 = 98,034.10 : x
  2. Step 2: Convert to fraction form
    133,026.10/199,053.15 = 98,034.10/x
  3. Step 3: Cross multiply
    133,026.10x = 199,053.15 × 98,034.10
  4. Step 4: Simplify right side
    133,026.10x = 19,513,996,412.42
  5. Step 5: Solve for x
    x = 19,513,996,412.42/133,026.10
  6. Step 6: Final answer
    x = 146,692.99

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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.