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Finding the Fourth Proportional to 189,322.50, 261,269.96 and 103,282.88

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Solution

The fourth proportional to 189,322.50, 261,269.96 and 103,282.88 is: 142,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,322.50 : 261,269.96 = 103,282.88 : x
  2. Step 2: Convert to fraction form
    189,322.50/261,269.96 = 103,282.88/x
  3. Step 3: Cross multiply
    189,322.50x = 261,269.96 × 103,282.88
  4. Step 4: Simplify right side
    189,322.50x = 26,984,713,926.28
  5. Step 5: Solve for x
    x = 26,984,713,926.28/189,322.50
  6. Step 6: Final answer
    x = 142,533.05

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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.