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Finding the Fourth Proportional to 147,115.84, 220,674.22 and 40,501.22

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Solution

The fourth proportional to 147,115.84, 220,674.22 and 40,501.22 is: 60,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,115.84 : 220,674.22 = 40,501.22 : x
  2. Step 2: Convert to fraction form
    147,115.84/220,674.22 = 40,501.22/x
  3. Step 3: Cross multiply
    147,115.84x = 220,674.22 × 40,501.22
  4. Step 4: Simplify right side
    147,115.84x = 8,937,575,132.55
  5. Step 5: Solve for x
    x = 8,937,575,132.55/147,115.84
  6. Step 6: Final answer
    x = 60,751.96

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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.