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Finding the Fourth Proportional to 273,114.39, 409,671.59 and 86,140.47

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Solution

The fourth proportional to 273,114.39, 409,671.59 and 86,140.47 is: 129,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,114.39 : 409,671.59 = 86,140.47 : x
  2. Step 2: Convert to fraction form
    273,114.39/409,671.59 = 86,140.47/x
  3. Step 3: Cross multiply
    273,114.39x = 409,671.59 × 86,140.47
  4. Step 4: Simplify right side
    273,114.39x = 35,289,303,308.25
  5. Step 5: Solve for x
    x = 35,289,303,308.25/273,114.39
  6. Step 6: Final answer
    x = 129,210.71

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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.