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Finding the Fourth Proportional to 147,175.20, 220,762.80 and 105,703.20

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Solution

The fourth proportional to 147,175.20, 220,762.80 and 105,703.20 is: 158,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,175.20 : 220,762.80 = 105,703.20 : x
  2. Step 2: Convert to fraction form
    147,175.20/220,762.80 = 105,703.20/x
  3. Step 3: Cross multiply
    147,175.20x = 220,762.80 × 105,703.20
  4. Step 4: Simplify right side
    147,175.20x = 23,335,334,400.96
  5. Step 5: Solve for x
    x = 23,335,334,400.96/147,175.20
  6. Step 6: Final answer
    x = 158,554.80

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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.