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Finding the Fourth Proportional to 114,506.46, 157,852.80 and 80,411.13

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Solution

The fourth proportional to 114,506.46, 157,852.80 and 80,411.13 is: 110,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,506.46 : 157,852.80 = 80,411.13 : x
  2. Step 2: Convert to fraction form
    114,506.46/157,852.80 = 80,411.13/x
  3. Step 3: Cross multiply
    114,506.46x = 157,852.80 × 80,411.13
  4. Step 4: Simplify right side
    114,506.46x = 12,693,122,021.66
  5. Step 5: Solve for x
    x = 12,693,122,021.66/114,506.46
  6. Step 6: Final answer
    x = 110,850.71

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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.