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Finding the Fourth Proportional to 234,133.65, 322,985.36 and 142,228.52

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Solution

The fourth proportional to 234,133.65, 322,985.36 and 142,228.52 is: 196,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,133.65 : 322,985.36 = 142,228.52 : x
  2. Step 2: Convert to fraction form
    234,133.65/322,985.36 = 142,228.52/x
  3. Step 3: Cross multiply
    234,133.65x = 322,985.36 × 142,228.52
  4. Step 4: Simplify right side
    234,133.65x = 45,937,729,023.32
  5. Step 5: Solve for x
    x = 45,937,729,023.32/234,133.65
  6. Step 6: Final answer
    x = 196,203.02

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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.