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Finding the Fourth Proportional to 287,142.57, 430,809.77 and 127,196.78

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Solution

The fourth proportional to 287,142.57, 430,809.77 and 127,196.78 is: 190,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,142.57 : 430,809.77 = 127,196.78 : x
  2. Step 2: Convert to fraction form
    287,142.57/430,809.77 = 127,196.78/x
  3. Step 3: Cross multiply
    287,142.57x = 430,809.77 × 127,196.78
  4. Step 4: Simplify right side
    287,142.57x = 54,797,612,746.51
  5. Step 5: Solve for x
    x = 54,797,612,746.51/287,142.57
  6. Step 6: Final answer
    x = 190,837.65

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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.