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Finding the Fourth Proportional to 347,159.10, 520,738.65 and 97,841.10

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Solution

The fourth proportional to 347,159.10, 520,738.65 and 97,841.10 is: 146,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,159.10 : 520,738.65 = 97,841.10 : x
  2. Step 2: Convert to fraction form
    347,159.10/520,738.65 = 97,841.10/x
  3. Step 3: Cross multiply
    347,159.10x = 520,738.65 × 97,841.10
  4. Step 4: Simplify right side
    347,159.10x = 50,949,642,328.52
  5. Step 5: Solve for x
    x = 50,949,642,328.52/347,159.10
  6. Step 6: Final answer
    x = 146,761.65

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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.