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Finding the Fourth Proportional to 232,281.33, 320,569.43 and 141,642.33

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Solution

The fourth proportional to 232,281.33, 320,569.43 and 141,642.33 is: 195,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,281.33 : 320,569.43 = 141,642.33 : x
  2. Step 2: Convert to fraction form
    232,281.33/320,569.43 = 141,642.33/x
  3. Step 3: Cross multiply
    232,281.33x = 320,569.43 × 141,642.33
  4. Step 4: Simplify right side
    232,281.33x = 45,406,200,283.76
  5. Step 5: Solve for x
    x = 45,406,200,283.76/232,281.33
  6. Step 6: Final answer
    x = 195,479.34

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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.