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Finding the Fourth Proportional to 229,874.66, 317,047.26 and 149,328.16

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Solution

The fourth proportional to 229,874.66, 317,047.26 and 149,328.16 is: 205,956.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,874.66 : 317,047.26 = 149,328.16 : x
  2. Step 2: Convert to fraction form
    229,874.66/317,047.26 = 149,328.16/x
  3. Step 3: Cross multiply
    229,874.66x = 317,047.26 × 149,328.16
  4. Step 4: Simplify right side
    229,874.66x = 47,344,083,736.20
  5. Step 5: Solve for x
    x = 47,344,083,736.20/229,874.66
  6. Step 6: Final answer
    x = 205,956.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.