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Finding the Fourth Proportional to 189,030.69, 283,574.79 and 64,342.53

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Solution

The fourth proportional to 189,030.69, 283,574.79 and 64,342.53 is: 96,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,030.69 : 283,574.79 = 64,342.53 : x
  2. Step 2: Convert to fraction form
    189,030.69/283,574.79 = 64,342.53/x
  3. Step 3: Cross multiply
    189,030.69x = 283,574.79 × 64,342.53
  4. Step 4: Simplify right side
    189,030.69x = 18,245,919,432.82
  5. Step 5: Solve for x
    x = 18,245,919,432.82/189,030.69
  6. Step 6: Final answer
    x = 96,523.58

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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.