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Finding the Fourth Proportional to 191,506.28, 287,259.58 and 86,202.28

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Solution

The fourth proportional to 191,506.28, 287,259.58 and 86,202.28 is: 129,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,506.28 : 287,259.58 = 86,202.28 : x
  2. Step 2: Convert to fraction form
    191,506.28/287,259.58 = 86,202.28/x
  3. Step 3: Cross multiply
    191,506.28x = 287,259.58 × 86,202.28
  4. Step 4: Simplify right side
    191,506.28x = 24,762,430,747.84
  5. Step 5: Solve for x
    x = 24,762,430,747.84/191,506.28
  6. Step 6: Final answer
    x = 129,303.49

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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.