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Finding the Fourth Proportional to 191,338.85, 287,013 and 91,509.59

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Solution

The fourth proportional to 191,338.85, 287,013 and 91,509.59 is: 137,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,338.85 : 287,013 = 91,509.59 : x
  2. Step 2: Convert to fraction form
    191,338.85/287,013 = 91,509.59/x
  3. Step 3: Cross multiply
    191,338.85x = 287,013 × 91,509.59
  4. Step 4: Simplify right side
    191,338.85x = 26,264,441,954.67
  5. Step 5: Solve for x
    x = 26,264,441,954.67/191,338.85
  6. Step 6: Final answer
    x = 137,266.64

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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.