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Finding the Fourth Proportional to 191,454.84, 287,160.42 and 51,224.28

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Solution

The fourth proportional to 191,454.84, 287,160.42 and 51,224.28 is: 76,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,454.84 : 287,160.42 = 51,224.28 : x
  2. Step 2: Convert to fraction form
    191,454.84/287,160.42 = 51,224.28/x
  3. Step 3: Cross multiply
    191,454.84x = 287,160.42 × 51,224.28
  4. Step 4: Simplify right side
    191,454.84x = 14,709,585,759.00
  5. Step 5: Solve for x
    x = 14,709,585,759.00/191,454.84
  6. Step 6: Final answer
    x = 76,830.58

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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.