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Finding the Fourth Proportional to 150,225.84, 207,322.20 and 83,162.16

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Solution

The fourth proportional to 150,225.84, 207,322.20 and 83,162.16 is: 114,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,225.84 : 207,322.20 = 83,162.16 : x
  2. Step 2: Convert to fraction form
    150,225.84/207,322.20 = 83,162.16/x
  3. Step 3: Cross multiply
    150,225.84x = 207,322.20 × 83,162.16
  4. Step 4: Simplify right side
    150,225.84x = 17,241,361,967.95
  5. Step 5: Solve for x
    x = 17,241,361,967.95/150,225.84
  6. Step 6: Final answer
    x = 114,769.62

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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.