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Finding the Fourth Proportional to 232,019.52, 320,158.40 and 141,342.58

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Solution

The fourth proportional to 232,019.52, 320,158.40 and 141,342.58 is: 195,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,019.52 : 320,158.40 = 141,342.58 : x
  2. Step 2: Convert to fraction form
    232,019.52/320,158.40 = 141,342.58/x
  3. Step 3: Cross multiply
    232,019.52x = 320,158.40 × 141,342.58
  4. Step 4: Simplify right side
    232,019.52x = 45,252,014,264.67
  5. Step 5: Solve for x
    x = 45,252,014,264.67/232,019.52
  6. Step 6: Final answer
    x = 195,035.38

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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.