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Finding the Fourth Proportional to 191,138.58, 286,547.49 and 84,505.32

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Solution

The fourth proportional to 191,138.58, 286,547.49 and 84,505.32 is: 126,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,138.58 : 286,547.49 = 84,505.32 : x
  2. Step 2: Convert to fraction form
    191,138.58/286,547.49 = 84,505.32/x
  3. Step 3: Cross multiply
    191,138.58x = 286,547.49 × 84,505.32
  4. Step 4: Simplify right side
    191,138.58x = 24,214,787,337.65
  5. Step 5: Solve for x
    x = 24,214,787,337.65/191,138.58
  6. Step 6: Final answer
    x = 126,687.07

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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.