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Finding the Fourth Proportional to 102,104.88, 153,187.92 and 49,516.08

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Solution

The fourth proportional to 102,104.88, 153,187.92 and 49,516.08 is: 74,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.88 : 153,187.92 = 49,516.08 : x
  2. Step 2: Convert to fraction form
    102,104.88/153,187.92 = 49,516.08/x
  3. Step 3: Cross multiply
    102,104.88x = 153,187.92 × 49,516.08
  4. Step 4: Simplify right side
    102,104.88x = 7,585,265,301.75
  5. Step 5: Solve for x
    x = 7,585,265,301.75/102,104.88
  6. Step 6: Final answer
    x = 74,288.96

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1.5x scale

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.