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Finding the Fourth Proportional to 258,522.68, 387,574.86 and 116,263.78

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Solution

The fourth proportional to 258,522.68, 387,574.86 and 116,263.78 is: 174,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,522.68 : 387,574.86 = 116,263.78 : x
  2. Step 2: Convert to fraction form
    258,522.68/387,574.86 = 116,263.78/x
  3. Step 3: Cross multiply
    258,522.68x = 387,574.86 × 116,263.78
  4. Step 4: Simplify right side
    258,522.68x = 45,060,918,256.57
  5. Step 5: Solve for x
    x = 45,060,918,256.57/258,522.68
  6. Step 6: Final answer
    x = 174,301.61

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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.