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Finding the Fourth Proportional to 147,113.90, 220,233.45 and 147,113.90

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Solution

The fourth proportional to 147,113.90, 220,233.45 and 147,113.90 is: 220,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,113.90 : 220,233.45 = 147,113.90 : x
  2. Step 2: Convert to fraction form
    147,113.90/220,233.45 = 147,113.90/x
  3. Step 3: Cross multiply
    147,113.90x = 220,233.45 × 147,113.90
  4. Step 4: Simplify right side
    147,113.90x = 32,399,401,739.96
  5. Step 5: Solve for x
    x = 32,399,401,739.96/147,113.90
  6. Step 6: Final answer
    x = 220,233.45

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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.