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Finding the Fourth Proportional to 255,002.64, 351,898.92 and 141,824.40

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Solution

The fourth proportional to 255,002.64, 351,898.92 and 141,824.40 is: 195,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,002.64 : 351,898.92 = 141,824.40 : x
  2. Step 2: Convert to fraction form
    255,002.64/351,898.92 = 141,824.40/x
  3. Step 3: Cross multiply
    255,002.64x = 351,898.92 × 141,824.40
  4. Step 4: Simplify right side
    255,002.64x = 49,907,853,189.65
  5. Step 5: Solve for x
    x = 49,907,853,189.65/255,002.64
  6. Step 6: Final answer
    x = 195,715.05

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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.