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Finding the Fourth Proportional to 310,754.64, 466,131.98 and 123,897.36

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Solution

The fourth proportional to 310,754.64, 466,131.98 and 123,897.36 is: 185,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,754.64 : 466,131.98 = 123,897.36 : x
  2. Step 2: Convert to fraction form
    310,754.64/466,131.98 = 123,897.36/x
  3. Step 3: Cross multiply
    310,754.64x = 466,131.98 × 123,897.36
  4. Step 4: Simplify right side
    310,754.64x = 57,752,521,733.57
  5. Step 5: Solve for x
    x = 57,752,521,733.57/310,754.64
  6. Step 6: Final answer
    x = 185,846.05

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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.