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Finding the Fourth Proportional to 194,934.80, 292,256.40 and 106,288.40

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Solution

The fourth proportional to 194,934.80, 292,256.40 and 106,288.40 is: 159,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,934.80 : 292,256.40 = 106,288.40 : x
  2. Step 2: Convert to fraction form
    194,934.80/292,256.40 = 106,288.40/x
  3. Step 3: Cross multiply
    194,934.80x = 292,256.40 × 106,288.40
  4. Step 4: Simplify right side
    194,934.80x = 31,063,465,145.76
  5. Step 5: Solve for x
    x = 31,063,465,145.76/194,934.80
  6. Step 6: Final answer
    x = 159,353.10

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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.