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Finding the Fourth Proportional to 96,412.80, 144,964.80 and 81,206.40

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Solution

The fourth proportional to 96,412.80, 144,964.80 and 81,206.40 is: 122,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,412.80 : 144,964.80 = 81,206.40 : x
  2. Step 2: Convert to fraction form
    96,412.80/144,964.80 = 81,206.40/x
  3. Step 3: Cross multiply
    96,412.80x = 144,964.80 × 81,206.40
  4. Step 4: Simplify right side
    96,412.80x = 11,772,069,534.72
  5. Step 5: Solve for x
    x = 11,772,069,534.72/96,412.80
  6. Step 6: Final answer
    x = 122,100.69

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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.