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Finding the Fourth Proportional to 265,537.65, 398,306.10 and 123,305.16

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Solution

The fourth proportional to 265,537.65, 398,306.10 and 123,305.16 is: 184,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,537.65 : 398,306.10 = 123,305.16 : x
  2. Step 2: Convert to fraction form
    265,537.65/398,306.10 = 123,305.16/x
  3. Step 3: Cross multiply
    265,537.65x = 398,306.10 × 123,305.16
  4. Step 4: Simplify right side
    265,537.65x = 49,113,197,389.48
  5. Step 5: Solve for x
    x = 49,113,197,389.48/265,537.65
  6. Step 6: Final answer
    x = 184,957.57

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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.