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Finding the Fourth Proportional to 191,535.30, 287,219.52 and 65,141.28

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Solution

The fourth proportional to 191,535.30, 287,219.52 and 65,141.28 is: 97,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,535.30 : 287,219.52 = 65,141.28 : x
  2. Step 2: Convert to fraction form
    191,535.30/287,219.52 = 65,141.28/x
  3. Step 3: Cross multiply
    191,535.30x = 287,219.52 × 65,141.28
  4. Step 4: Simplify right side
    191,535.30x = 18,709,847,173.79
  5. Step 5: Solve for x
    x = 18,709,847,173.79/191,535.30
  6. Step 6: Final answer
    x = 97,683.55

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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.