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Finding the Fourth Proportional to 275,089.62, 412,498.23 and 97,570.02

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Solution

The fourth proportional to 275,089.62, 412,498.23 and 97,570.02 is: 146,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,089.62 : 412,498.23 = 97,570.02 : x
  2. Step 2: Convert to fraction form
    275,089.62/412,498.23 = 97,570.02/x
  3. Step 3: Cross multiply
    275,089.62x = 412,498.23 × 97,570.02
  4. Step 4: Simplify right side
    275,089.62x = 40,247,460,551.06
  5. Step 5: Solve for x
    x = 40,247,460,551.06/275,089.62
  6. Step 6: Final answer
    x = 146,306.72

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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.