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Finding the Fourth Proportional to 99,206.25, 136,904.63 and 54,494.25

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Solution

The fourth proportional to 99,206.25, 136,904.63 and 54,494.25 is: 75,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,206.25 : 136,904.63 = 54,494.25 : x
  2. Step 2: Convert to fraction form
    99,206.25/136,904.63 = 54,494.25/x
  3. Step 3: Cross multiply
    99,206.25x = 136,904.63 × 54,494.25
  4. Step 4: Simplify right side
    99,206.25x = 7,460,514,860.91
  5. Step 5: Solve for x
    x = 7,460,514,860.91/99,206.25
  6. Step 6: Final answer
    x = 75,202.07

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1.5x scale

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.