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Finding the Fourth Proportional to 233,345.72, 322,008.54 and 142,667.84

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Solution

The fourth proportional to 233,345.72, 322,008.54 and 142,667.84 is: 196,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,345.72 : 322,008.54 = 142,667.84 : x
  2. Step 2: Convert to fraction form
    233,345.72/322,008.54 = 142,667.84/x
  3. Step 3: Cross multiply
    233,345.72x = 322,008.54 × 142,667.84
  4. Step 4: Simplify right side
    233,345.72x = 45,940,262,863.35
  5. Step 5: Solve for x
    x = 45,940,262,863.35/233,345.72
  6. Step 6: Final answer
    x = 196,876.39

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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.