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Finding the Fourth Proportional to 275,356.19, 413,034.30 and 97,870.20

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Solution

The fourth proportional to 275,356.19, 413,034.30 and 97,870.20 is: 146,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,356.19 : 413,034.30 = 97,870.20 : x
  2. Step 2: Convert to fraction form
    275,356.19/413,034.30 = 97,870.20/x
  3. Step 3: Cross multiply
    275,356.19x = 413,034.30 × 97,870.20
  4. Step 4: Simplify right side
    275,356.19x = 40,423,749,547.86
  5. Step 5: Solve for x
    x = 40,423,749,547.86/275,356.19
  6. Step 6: Final answer
    x = 146,805.31

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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.