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Finding the Fourth Proportional to 177,165.92, 265,448.16 and 106,897.60

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Solution

The fourth proportional to 177,165.92, 265,448.16 and 106,897.60 is: 160,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,165.92 : 265,448.16 = 106,897.60 : x
  2. Step 2: Convert to fraction form
    177,165.92/265,448.16 = 106,897.60/x
  3. Step 3: Cross multiply
    177,165.92x = 265,448.16 × 106,897.60
  4. Step 4: Simplify right side
    177,165.92x = 28,375,771,228.42
  5. Step 5: Solve for x
    x = 28,375,771,228.42/177,165.92
  6. Step 6: Final answer
    x = 160,164.95

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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.