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Finding the Fourth Proportional to 155,144.30, 232,729.80 and 42,824.54

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Solution

The fourth proportional to 155,144.30, 232,729.80 and 42,824.54 is: 64,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,144.30 : 232,729.80 = 42,824.54 : x
  2. Step 2: Convert to fraction form
    155,144.30/232,729.80 = 42,824.54/x
  3. Step 3: Cross multiply
    155,144.30x = 232,729.80 × 42,824.54
  4. Step 4: Simplify right side
    155,144.30x = 9,966,545,465.64
  5. Step 5: Solve for x
    x = 9,966,545,465.64/155,144.30
  6. Step 6: Final answer
    x = 64,240.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.