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Finding the Fourth Proportional to 171,071.20, 256,606.80 and 46,412.20

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Solution

The fourth proportional to 171,071.20, 256,606.80 and 46,412.20 is: 69,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,071.20 : 256,606.80 = 46,412.20 : x
  2. Step 2: Convert to fraction form
    171,071.20/256,606.80 = 46,412.20/x
  3. Step 3: Cross multiply
    171,071.20x = 256,606.80 × 46,412.20
  4. Step 4: Simplify right side
    171,071.20x = 11,909,686,122.96
  5. Step 5: Solve for x
    x = 11,909,686,122.96/171,071.20
  6. Step 6: Final answer
    x = 69,618.30

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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.