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Finding the Fourth Proportional to 157,653.73, 217,192.49 and 109,820.53

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Solution

The fourth proportional to 157,653.73, 217,192.49 and 109,820.53 is: 151,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,653.73 : 217,192.49 = 109,820.53 : x
  2. Step 2: Convert to fraction form
    157,653.73/217,192.49 = 109,820.53/x
  3. Step 3: Cross multiply
    157,653.73x = 217,192.49 × 109,820.53
  4. Step 4: Simplify right side
    157,653.73x = 23,852,193,814.72
  5. Step 5: Solve for x
    x = 23,852,193,814.72/157,653.73
  6. Step 6: Final answer
    x = 151,294.83

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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.