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Finding the Fourth Proportional to 191,903.90, 287,853.15 and 86,722.70

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Solution

The fourth proportional to 191,903.90, 287,853.15 and 86,722.70 is: 130,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,903.90 : 287,853.15 = 86,722.70 : x
  2. Step 2: Convert to fraction form
    191,903.90/287,853.15 = 86,722.70/x
  3. Step 3: Cross multiply
    191,903.90x = 287,853.15 × 86,722.70
  4. Step 4: Simplify right side
    191,903.90x = 24,963,402,371.51
  5. Step 5: Solve for x
    x = 24,963,402,371.51/191,903.90
  6. Step 6: Final answer
    x = 130,082.83

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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.