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Finding the Fourth Proportional to 265,536.65, 398,304.60 and 123,304.16

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Solution

The fourth proportional to 265,536.65, 398,304.60 and 123,304.16 is: 184,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,536.65 : 398,304.60 = 123,304.16 : x
  2. Step 2: Convert to fraction form
    265,536.65/398,304.60 = 123,304.16/x
  3. Step 3: Cross multiply
    265,536.65x = 398,304.60 × 123,304.16
  4. Step 4: Simplify right side
    265,536.65x = 49,112,612,135.61
  5. Step 5: Solve for x
    x = 49,112,612,135.61/265,536.65
  6. Step 6: Final answer
    x = 184,956.06

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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.