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Finding the Fourth Proportional to 224,750.49, 309,866.26 and 160,293.22

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Solution

The fourth proportional to 224,750.49, 309,866.26 and 160,293.22 is: 220,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,750.49 : 309,866.26 = 160,293.22 : x
  2. Step 2: Convert to fraction form
    224,750.49/309,866.26 = 160,293.22/x
  3. Step 3: Cross multiply
    224,750.49x = 309,866.26 × 160,293.22
  4. Step 4: Simplify right side
    224,750.49x = 49,669,460,584.76
  5. Step 5: Solve for x
    x = 49,669,460,584.76/224,750.49
  6. Step 6: Final answer
    x = 220,998.23

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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.