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Finding the Fourth Proportional to 273,886.70, 410,862.05 and 86,917.10

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Solution

The fourth proportional to 273,886.70, 410,862.05 and 86,917.10 is: 130,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,886.70 : 410,862.05 = 86,917.10 : x
  2. Step 2: Convert to fraction form
    273,886.70/410,862.05 = 86,917.10/x
  3. Step 3: Cross multiply
    273,886.70x = 410,862.05 × 86,917.10
  4. Step 4: Simplify right side
    273,886.70x = 35,710,937,886.06
  5. Step 5: Solve for x
    x = 35,710,937,886.06/273,886.70
  6. Step 6: Final answer
    x = 130,385.81

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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.