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Finding the Fourth Proportional to 170,271.52, 255,444.84 and 51,952

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Solution

The fourth proportional to 170,271.52, 255,444.84 and 51,952 is: 77,939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,271.52 : 255,444.84 = 51,952 : x
  2. Step 2: Convert to fraction form
    170,271.52/255,444.84 = 51,952/x
  3. Step 3: Cross multiply
    170,271.52x = 255,444.84 × 51,952
  4. Step 4: Simplify right side
    170,271.52x = 13,270,870,327.68
  5. Step 5: Solve for x
    x = 13,270,870,327.68/170,271.52
  6. Step 6: Final answer
    x = 77,939.46

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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.