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Finding the Fourth Proportional to 191,866.68, 287,826.26 and 65,472.93

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Solution

The fourth proportional to 191,866.68, 287,826.26 and 65,472.93 is: 98,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,866.68 : 287,826.26 = 65,472.93 : x
  2. Step 2: Convert to fraction form
    191,866.68/287,826.26 = 65,472.93/x
  3. Step 3: Cross multiply
    191,866.68x = 287,826.26 × 65,472.93
  4. Step 4: Simplify right side
    191,866.68x = 18,844,828,245.78
  5. Step 5: Solve for x
    x = 18,844,828,245.78/191,866.68
  6. Step 6: Final answer
    x = 98,218.35

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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.