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Finding the Fourth Proportional to 232,052.59, 320,235.86 and 141,412.38

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Solution

The fourth proportional to 232,052.59, 320,235.86 and 141,412.38 is: 195,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,052.59 : 320,235.86 = 141,412.38 : x
  2. Step 2: Convert to fraction form
    232,052.59/320,235.86 = 141,412.38/x
  3. Step 3: Cross multiply
    232,052.59x = 320,235.86 × 141,412.38
  4. Step 4: Simplify right side
    232,052.59x = 45,285,312,815.71
  5. Step 5: Solve for x
    x = 45,285,312,815.71/232,052.59
  6. Step 6: Final answer
    x = 195,151.08

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Why These Related Problems?

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