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Finding the Fourth Proportional to 312,140.40, 468,037.80 and 124,940.40

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Solution

The fourth proportional to 312,140.40, 468,037.80 and 124,940.40 is: 187,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,140.40 : 468,037.80 = 124,940.40 : x
  2. Step 2: Convert to fraction form
    312,140.40/468,037.80 = 124,940.40/x
  3. Step 3: Cross multiply
    312,140.40x = 468,037.80 × 124,940.40
  4. Step 4: Simplify right side
    312,140.40x = 58,476,829,947.12
  5. Step 5: Solve for x
    x = 58,476,829,947.12/312,140.40
  6. Step 6: Final answer
    x = 187,341.43

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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.