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Finding the Fourth Proportional to 232,203.14, 320,143.69 and 150,386.84

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Solution

The fourth proportional to 232,203.14, 320,143.69 and 150,386.84 is: 207,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,203.14 : 320,143.69 = 150,386.84 : x
  2. Step 2: Convert to fraction form
    232,203.14/320,143.69 = 150,386.84/x
  3. Step 3: Cross multiply
    232,203.14x = 320,143.69 × 150,386.84
  4. Step 4: Simplify right side
    232,203.14x = 48,145,397,885.04
  5. Step 5: Solve for x
    x = 48,145,397,885.04/232,203.14
  6. Step 6: Final answer
    x = 207,341.72

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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.