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Finding the Fourth Proportional to 302,053.98, 416,846.50 and 166,099.08

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Solution

The fourth proportional to 302,053.98, 416,846.50 and 166,099.08 is: 229,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,053.98 : 416,846.50 = 166,099.08 : x
  2. Step 2: Convert to fraction form
    302,053.98/416,846.50 = 166,099.08/x
  3. Step 3: Cross multiply
    302,053.98x = 416,846.50 × 166,099.08
  4. Step 4: Simplify right side
    302,053.98x = 69,237,820,151.22
  5. Step 5: Solve for x
    x = 69,237,820,151.22/302,053.98
  6. Step 6: Final answer
    x = 229,223.33

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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.