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Finding the Fourth Proportional to 171,970.80, 257,967.72 and 61,133.04

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Solution

The fourth proportional to 171,970.80, 257,967.72 and 61,133.04 is: 91,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,970.80 : 257,967.72 = 61,133.04 : x
  2. Step 2: Convert to fraction form
    171,970.80/257,967.72 = 61,133.04/x
  3. Step 3: Cross multiply
    171,970.80x = 257,967.72 × 61,133.04
  4. Step 4: Simplify right side
    171,970.80x = 15,770,350,945.47
  5. Step 5: Solve for x
    x = 15,770,350,945.47/171,970.80
  6. Step 6: Final answer
    x = 91,703.66

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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.