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Finding the Fourth Proportional to 114,362.46, 171,507.33 and 106,899.48

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Solution

The fourth proportional to 114,362.46, 171,507.33 and 106,899.48 is: 160,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,362.46 : 171,507.33 = 106,899.48 : x
  2. Step 2: Convert to fraction form
    114,362.46/171,507.33 = 106,899.48/x
  3. Step 3: Cross multiply
    114,362.46x = 171,507.33 × 106,899.48
  4. Step 4: Simplify right side
    114,362.46x = 18,334,044,393.19
  5. Step 5: Solve for x
    x = 18,334,044,393.19/114,362.46
  6. Step 6: Final answer
    x = 160,315.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.