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Finding the Fourth Proportional to 171,037.10, 256,701.45 and 76,412.90

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Solution

The fourth proportional to 171,037.10, 256,701.45 and 76,412.90 is: 114,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,037.10 : 256,701.45 = 76,412.90 : x
  2. Step 2: Convert to fraction form
    171,037.10/256,701.45 = 76,412.90/x
  3. Step 3: Cross multiply
    171,037.10x = 256,701.45 × 76,412.90
  4. Step 4: Simplify right side
    171,037.10x = 19,615,302,228.71
  5. Step 5: Solve for x
    x = 19,615,302,228.71/171,037.10
  6. Step 6: Final answer
    x = 114,684.49

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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.