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Finding the Fourth Proportional to 186,714, 257,880.40 and 135,953.76

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Solution

The fourth proportional to 186,714, 257,880.40 and 135,953.76 is: 187,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,714 : 257,880.40 = 135,953.76 : x
  2. Step 2: Convert to fraction form
    186,714/257,880.40 = 135,953.76/x
  3. Step 3: Cross multiply
    186,714x = 257,880.40 × 135,953.76
  4. Step 4: Simplify right side
    186,714x = 35,059,810,010.30
  5. Step 5: Solve for x
    x = 35,059,810,010.30/186,714
  6. Step 6: Final answer
    x = 187,772.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.