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Finding the Fourth Proportional to 150,706.42, 207,939.09 and 97,008.82

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Solution

The fourth proportional to 150,706.42, 207,939.09 and 97,008.82 is: 133,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,706.42 : 207,939.09 = 97,008.82 : x
  2. Step 2: Convert to fraction form
    150,706.42/207,939.09 = 97,008.82/x
  3. Step 3: Cross multiply
    150,706.42x = 207,939.09 × 97,008.82
  4. Step 4: Simplify right side
    150,706.42x = 20,171,925,752.77
  5. Step 5: Solve for x
    x = 20,171,925,752.77/150,706.42
  6. Step 6: Final answer
    x = 133,849.15

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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.