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Finding the Fourth Proportional to 106,902.34, 160,358.67 and 28,016.64

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Solution

The fourth proportional to 106,902.34, 160,358.67 and 28,016.64 is: 42,026.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,902.34 : 160,358.67 = 28,016.64 : x
  2. Step 2: Convert to fraction form
    106,902.34/160,358.67 = 28,016.64/x
  3. Step 3: Cross multiply
    106,902.34x = 160,358.67 × 28,016.64
  4. Step 4: Simplify right side
    106,902.34x = 4,492,711,128.27
  5. Step 5: Solve for x
    x = 4,492,711,128.27/106,902.34
  6. Step 6: Final answer
    x = 42,026.31

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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.