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Finding the Fourth Proportional to 144,852.19, 217,024.92 and 100,507.12

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Solution

The fourth proportional to 144,852.19, 217,024.92 and 100,507.12 is: 150,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,852.19 : 217,024.92 = 100,507.12 : x
  2. Step 2: Convert to fraction form
    144,852.19/217,024.92 = 100,507.12/x
  3. Step 3: Cross multiply
    144,852.19x = 217,024.92 × 100,507.12
  4. Step 4: Simplify right side
    144,852.19x = 21,812,549,134.87
  5. Step 5: Solve for x
    x = 21,812,549,134.87/144,852.19
  6. Step 6: Final answer
    x = 150,584.88

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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.