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Finding the Fourth Proportional to 232,506.88, 320,816.64 and 141,841.92

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Solution

The fourth proportional to 232,506.88, 320,816.64 and 141,841.92 is: 195,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,506.88 : 320,816.64 = 141,841.92 : x
  2. Step 2: Convert to fraction form
    232,506.88/320,816.64 = 141,841.92/x
  3. Step 3: Cross multiply
    232,506.88x = 320,816.64 × 141,841.92
  4. Step 4: Simplify right side
    232,506.88x = 45,505,248,185.55
  5. Step 5: Solve for x
    x = 45,505,248,185.55/232,506.88
  6. Step 6: Final answer
    x = 195,715.71

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1.5x scale

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.