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Finding the Fourth Proportional to 177,643.90, 266,028.45 and 84,040.30

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Solution

The fourth proportional to 177,643.90, 266,028.45 and 84,040.30 is: 125,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,643.90 : 266,028.45 = 84,040.30 : x
  2. Step 2: Convert to fraction form
    177,643.90/266,028.45 = 84,040.30/x
  3. Step 3: Cross multiply
    177,643.90x = 266,028.45 × 84,040.30
  4. Step 4: Simplify right side
    177,643.90x = 22,357,110,746.54
  5. Step 5: Solve for x
    x = 22,357,110,746.54/177,643.90
  6. Step 6: Final answer
    x = 125,853.52

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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.