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Finding the Fourth Proportional to 150,038.67, 206,955.82 and 96,238.47

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Solution

The fourth proportional to 150,038.67, 206,955.82 and 96,238.47 is: 132,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,038.67 : 206,955.82 = 96,238.47 : x
  2. Step 2: Convert to fraction form
    150,038.67/206,955.82 = 96,238.47/x
  3. Step 3: Cross multiply
    150,038.67x = 206,955.82 × 96,238.47
  4. Step 4: Simplify right side
    150,038.67x = 19,917,109,958.42
  5. Step 5: Solve for x
    x = 19,917,109,958.42/150,038.67
  6. Step 6: Final answer
    x = 132,746.52

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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.