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Finding the Fourth Proportional to 233,712.48, 322,451.52 and 142,973.85

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Solution

The fourth proportional to 233,712.48, 322,451.52 and 142,973.85 is: 197,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,712.48 : 322,451.52 = 142,973.85 : x
  2. Step 2: Convert to fraction form
    233,712.48/322,451.52 = 142,973.85/x
  3. Step 3: Cross multiply
    233,712.48x = 322,451.52 × 142,973.85
  4. Step 4: Simplify right side
    233,712.48x = 46,102,135,252.75
  5. Step 5: Solve for x
    x = 46,102,135,252.75/233,712.48
  6. Step 6: Final answer
    x = 197,260.05

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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.