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Finding the Fourth Proportional to 150,032.16, 206,973.90 and 107,021.16

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Solution

The fourth proportional to 150,032.16, 206,973.90 and 107,021.16 is: 147,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,032.16 : 206,973.90 = 107,021.16 : x
  2. Step 2: Convert to fraction form
    150,032.16/206,973.90 = 107,021.16/x
  3. Step 3: Cross multiply
    150,032.16x = 206,973.90 × 107,021.16
  4. Step 4: Simplify right side
    150,032.16x = 22,150,586,867.72
  5. Step 5: Solve for x
    x = 22,150,586,867.72/150,032.16
  6. Step 6: Final answer
    x = 147,638.93

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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.