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Finding the Fourth Proportional to 273,005.70, 409,435.65 and 83,465.70

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Solution

The fourth proportional to 273,005.70, 409,435.65 and 83,465.70 is: 125,176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,005.70 : 409,435.65 = 83,465.70 : x
  2. Step 2: Convert to fraction form
    273,005.70/409,435.65 = 83,465.70/x
  3. Step 3: Cross multiply
    273,005.70x = 409,435.65 × 83,465.70
  4. Step 4: Simplify right side
    273,005.70x = 34,173,833,132.21
  5. Step 5: Solve for x
    x = 34,173,833,132.21/273,005.70
  6. Step 6: Final answer
    x = 125,176.26

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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.