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Finding the Fourth Proportional to 189,187.92, 283,773.66 and 47,030.16

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Solution

The fourth proportional to 189,187.92, 283,773.66 and 47,030.16 is: 70,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,187.92 : 283,773.66 = 47,030.16 : x
  2. Step 2: Convert to fraction form
    189,187.92/283,773.66 = 47,030.16/x
  3. Step 3: Cross multiply
    189,187.92x = 283,773.66 × 47,030.16
  4. Step 4: Simplify right side
    189,187.92x = 13,345,920,633.59
  5. Step 5: Solve for x
    x = 13,345,920,633.59/189,187.92
  6. Step 6: Final answer
    x = 70,543.20

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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.