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Finding the Fourth Proportional to 152,811.80, 229,217.70 and 139,033.70

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Solution

The fourth proportional to 152,811.80, 229,217.70 and 139,033.70 is: 208,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,811.80 : 229,217.70 = 139,033.70 : x
  2. Step 2: Convert to fraction form
    152,811.80/229,217.70 = 139,033.70/x
  3. Step 3: Cross multiply
    152,811.80x = 229,217.70 × 139,033.70
  4. Step 4: Simplify right side
    152,811.80x = 31,868,984,936.49
  5. Step 5: Solve for x
    x = 31,868,984,936.49/152,811.80
  6. Step 6: Final answer
    x = 208,550.55

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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.