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Finding the Fourth Proportional to 268,324.78, 402,597.30 and 141,931.24

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Solution

The fourth proportional to 268,324.78, 402,597.30 and 141,931.24 is: 212,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,324.78 : 402,597.30 = 141,931.24 : x
  2. Step 2: Convert to fraction form
    268,324.78/402,597.30 = 141,931.24/x
  3. Step 3: Cross multiply
    268,324.78x = 402,597.30 × 141,931.24
  4. Step 4: Simplify right side
    268,324.78x = 57,141,134,009.65
  5. Step 5: Solve for x
    x = 57,141,134,009.65/268,324.78
  6. Step 6: Final answer
    x = 212,955.11

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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.