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Finding the Fourth Proportional to 160,034.40, 220,909.68 and 143,238.24

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Solution

The fourth proportional to 160,034.40, 220,909.68 and 143,238.24 is: 197,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,034.40 : 220,909.68 = 143,238.24 : x
  2. Step 2: Convert to fraction form
    160,034.40/220,909.68 = 143,238.24/x
  3. Step 3: Cross multiply
    160,034.40x = 220,909.68 × 143,238.24
  4. Step 4: Simplify right side
    160,034.40x = 31,642,713,762.16
  5. Step 5: Solve for x
    x = 31,642,713,762.16/160,034.40
  6. Step 6: Final answer
    x = 197,724.45

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