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Finding the Fourth Proportional to 191,813.76, 287,874.72 and 86,641.92

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Solution

The fourth proportional to 191,813.76, 287,874.72 and 86,641.92 is: 130,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,813.76 : 287,874.72 = 86,641.92 : x
  2. Step 2: Convert to fraction form
    191,813.76/287,874.72 = 86,641.92/x
  3. Step 3: Cross multiply
    191,813.76x = 287,874.72 × 86,641.92
  4. Step 4: Simplify right side
    191,813.76x = 24,942,018,460.26
  5. Step 5: Solve for x
    x = 24,942,018,460.26/191,813.76
  6. Step 6: Final answer
    x = 130,032.48

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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.