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Finding the Fourth Proportional to 171,840.61, 257,657.37 and 77,053.64

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Solution

The fourth proportional to 171,840.61, 257,657.37 and 77,053.64 is: 115,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,840.61 : 257,657.37 = 77,053.64 : x
  2. Step 2: Convert to fraction form
    171,840.61/257,657.37 = 77,053.64/x
  3. Step 3: Cross multiply
    171,840.61x = 257,657.37 × 77,053.64
  4. Step 4: Simplify right side
    171,840.61x = 19,853,436,943.04
  5. Step 5: Solve for x
    x = 19,853,436,943.04/171,840.61
  6. Step 6: Final answer
    x = 115,534.02

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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.