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Finding the Fourth Proportional to 114,081, 170,285.91 and 100,614.06

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Solution

The fourth proportional to 114,081, 170,285.91 and 100,614.06 is: 150,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,081 : 170,285.91 = 100,614.06 : x
  2. Step 2: Convert to fraction form
    114,081/170,285.91 = 100,614.06/x
  3. Step 3: Cross multiply
    114,081x = 170,285.91 × 100,614.06
  4. Step 4: Simplify right side
    114,081x = 17,133,156,765.89
  5. Step 5: Solve for x
    x = 17,133,156,765.89/114,081
  6. Step 6: Final answer
    x = 150,184.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.