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Finding the Fourth Proportional to 273,478.16, 410,400.71 and 95,985.69

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Solution

The fourth proportional to 273,478.16, 410,400.71 and 95,985.69 is: 144,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,478.16 : 410,400.71 = 95,985.69 : x
  2. Step 2: Convert to fraction form
    273,478.16/410,400.71 = 95,985.69/x
  3. Step 3: Cross multiply
    273,478.16x = 410,400.71 × 95,985.69
  4. Step 4: Simplify right side
    273,478.16x = 39,392,594,845.91
  5. Step 5: Solve for x
    x = 39,392,594,845.91/273,478.16
  6. Step 6: Final answer
    x = 144,042.93

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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.