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Finding the Fourth Proportional to 171,843.12, 257,661.12 and 77,056.14

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Solution

The fourth proportional to 171,843.12, 257,661.12 and 77,056.14 is: 115,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,843.12 : 257,661.12 = 77,056.14 : x
  2. Step 2: Convert to fraction form
    171,843.12/257,661.12 = 77,056.14/x
  3. Step 3: Cross multiply
    171,843.12x = 257,661.12 × 77,056.14
  4. Step 4: Simplify right side
    171,843.12x = 19,854,371,335.28
  5. Step 5: Solve for x
    x = 19,854,371,335.28/171,843.12
  6. Step 6: Final answer
    x = 115,537.77

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1.5x scale

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.