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Finding the Fourth Proportional to 157,095.78, 216,540.11 and 106,092.21

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Solution

The fourth proportional to 157,095.78, 216,540.11 and 106,092.21 is: 146,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,095.78 : 216,540.11 = 106,092.21 : x
  2. Step 2: Convert to fraction form
    157,095.78/216,540.11 = 106,092.21/x
  3. Step 3: Cross multiply
    157,095.78x = 216,540.11 × 106,092.21
  4. Step 4: Simplify right side
    157,095.78x = 22,973,217,775.36
  5. Step 5: Solve for x
    x = 22,973,217,775.36/157,095.78
  6. Step 6: Final answer
    x = 146,237.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.