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Finding the Fourth Proportional to 191,909.16, 287,863.32 and 51,667.92

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Solution

The fourth proportional to 191,909.16, 287,863.32 and 51,667.92 is: 77,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,909.16 : 287,863.32 = 51,667.92 : x
  2. Step 2: Convert to fraction form
    191,909.16/287,863.32 = 51,667.92/x
  3. Step 3: Cross multiply
    191,909.16x = 287,863.32 × 51,667.92
  4. Step 4: Simplify right side
    191,909.16x = 14,873,298,988.69
  5. Step 5: Solve for x
    x = 14,873,298,988.69/191,909.16
  6. Step 6: Final answer
    x = 77,501.77

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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.