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Finding the Fourth Proportional to 191,967.40, 287,948.40 and 86,786.20

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Solution

The fourth proportional to 191,967.40, 287,948.40 and 86,786.20 is: 130,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,967.40 : 287,948.40 = 86,786.20 : x
  2. Step 2: Convert to fraction form
    191,967.40/287,948.40 = 86,786.20/x
  3. Step 3: Cross multiply
    191,967.40x = 287,948.40 × 86,786.20
  4. Step 4: Simplify right side
    191,967.40x = 24,989,947,432.08
  5. Step 5: Solve for x
    x = 24,989,947,432.08/191,967.40
  6. Step 6: Final answer
    x = 130,178.08

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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.