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Finding the Fourth Proportional to 313,190.42, 469,726.59 and 88,549.07

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Solution

The fourth proportional to 313,190.42, 469,726.59 and 88,549.07 is: 132,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,190.42 : 469,726.59 = 88,549.07 : x
  2. Step 2: Convert to fraction form
    313,190.42/469,726.59 = 88,549.07/x
  3. Step 3: Cross multiply
    313,190.42x = 469,726.59 × 88,549.07
  4. Step 4: Simplify right side
    313,190.42x = 41,593,852,698.77
  5. Step 5: Solve for x
    x = 41,593,852,698.77/313,190.42
  6. Step 6: Final answer
    x = 132,806.91

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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.