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Finding the Fourth Proportional to 189,007.68, 283,316.80 and 83,876.16

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Solution

The fourth proportional to 189,007.68, 283,316.80 and 83,876.16 is: 125,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,007.68 : 283,316.80 = 83,876.16 : x
  2. Step 2: Convert to fraction form
    189,007.68/283,316.80 = 83,876.16/x
  3. Step 3: Cross multiply
    189,007.68x = 283,316.80 × 83,876.16
  4. Step 4: Simplify right side
    189,007.68x = 23,763,525,247.49
  5. Step 5: Solve for x
    x = 23,763,525,247.49/189,007.68
  6. Step 6: Final answer
    x = 125,727.83

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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.