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Finding the Fourth Proportional to 135,798.19, 187,401.50 and 76,182.19

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Solution

The fourth proportional to 135,798.19, 187,401.50 and 76,182.19 is: 105,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,798.19 : 187,401.50 = 76,182.19 : x
  2. Step 2: Convert to fraction form
    135,798.19/187,401.50 = 76,182.19/x
  3. Step 3: Cross multiply
    135,798.19x = 187,401.50 × 76,182.19
  4. Step 4: Simplify right side
    135,798.19x = 14,276,656,115.55
  5. Step 5: Solve for x
    x = 14,276,656,115.55/135,798.19
  6. Step 6: Final answer
    x = 105,131.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.