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Finding the Fourth Proportional to 310,930.80, 466,511.40 and 124,076.40

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Solution

The fourth proportional to 310,930.80, 466,511.40 and 124,076.40 is: 186,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,930.80 : 466,511.40 = 124,076.40 : x
  2. Step 2: Convert to fraction form
    310,930.80/466,511.40 = 124,076.40/x
  3. Step 3: Cross multiply
    310,930.80x = 466,511.40 × 124,076.40
  4. Step 4: Simplify right side
    310,930.80x = 57,883,055,070.96
  5. Step 5: Solve for x
    x = 57,883,055,070.96/310,930.80
  6. Step 6: Final answer
    x = 186,160.57

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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.