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Finding the Fourth Proportional to 177,462.70, 266,194.05 and 165,712.30

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Solution

The fourth proportional to 177,462.70, 266,194.05 and 165,712.30 is: 248,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,462.70 : 266,194.05 = 165,712.30 : x
  2. Step 2: Convert to fraction form
    177,462.70/266,194.05 = 165,712.30/x
  3. Step 3: Cross multiply
    177,462.70x = 266,194.05 × 165,712.30
  4. Step 4: Simplify right side
    177,462.70x = 44,111,628,271.82
  5. Step 5: Solve for x
    x = 44,111,628,271.82/177,462.70
  6. Step 6: Final answer
    x = 248,568.45

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1.5x scale

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.