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Finding the Fourth Proportional to 208,220.57, 312,459.37 and 81,838.65

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Solution

The fourth proportional to 208,220.57, 312,459.37 and 81,838.65 is: 122,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,220.57 : 312,459.37 = 81,838.65 : x
  2. Step 2: Convert to fraction form
    208,220.57/312,459.37 = 81,838.65/x
  3. Step 3: Cross multiply
    208,220.57x = 312,459.37 × 81,838.65
  4. Step 4: Simplify right side
    208,220.57x = 25,571,254,448.12
  5. Step 5: Solve for x
    x = 25,571,254,448.12/208,220.57
  6. Step 6: Final answer
    x = 122,808.49

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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.