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Finding the Fourth Proportional to 114,208.45, 157,624.25 and 65,800.96

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Solution

The fourth proportional to 114,208.45, 157,624.25 and 65,800.96 is: 90,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,208.45 : 157,624.25 = 65,800.96 : x
  2. Step 2: Convert to fraction form
    114,208.45/157,624.25 = 65,800.96/x
  3. Step 3: Cross multiply
    114,208.45x = 157,624.25 × 65,800.96
  4. Step 4: Simplify right side
    114,208.45x = 10,371,826,246.21
  5. Step 5: Solve for x
    x = 10,371,826,246.21/114,208.45
  6. Step 6: Final answer
    x = 90,814.88

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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.