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Finding the Fourth Proportional to 275,818.95, 413,720.19 and 76,151.52

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Solution

The fourth proportional to 275,818.95, 413,720.19 and 76,151.52 is: 114,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,818.95 : 413,720.19 = 76,151.52 : x
  2. Step 2: Convert to fraction form
    275,818.95/413,720.19 = 76,151.52/x
  3. Step 3: Cross multiply
    275,818.95x = 413,720.19 × 76,151.52
  4. Step 4: Simplify right side
    275,818.95x = 31,505,421,323.19
  5. Step 5: Solve for x
    x = 31,505,421,323.19/275,818.95
  6. Step 6: Final answer
    x = 114,225.01

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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.