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Finding the Fourth Proportional to 273,543.30, 410,273.91 and 86,530.50

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Solution

The fourth proportional to 273,543.30, 410,273.91 and 86,530.50 is: 129,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,543.30 : 410,273.91 = 86,530.50 : x
  2. Step 2: Convert to fraction form
    273,543.30/410,273.91 = 86,530.50/x
  3. Step 3: Cross multiply
    273,543.30x = 410,273.91 × 86,530.50
  4. Step 4: Simplify right side
    273,543.30x = 35,501,206,569.26
  5. Step 5: Solve for x
    x = 35,501,206,569.26/273,543.30
  6. Step 6: Final answer
    x = 129,782.77

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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.