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Finding the Fourth Proportional to 202,173.16, 302,628.66 and 148,925.16

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Solution

The fourth proportional to 202,173.16, 302,628.66 and 148,925.16 is: 222,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,173.16 : 302,628.66 = 148,925.16 : x
  2. Step 2: Convert to fraction form
    202,173.16/302,628.66 = 148,925.16/x
  3. Step 3: Cross multiply
    202,173.16x = 302,628.66 × 148,925.16
  4. Step 4: Simplify right side
    202,173.16x = 45,069,021,611.09
  5. Step 5: Solve for x
    x = 45,069,021,611.09/202,173.16
  6. Step 6: Final answer
    x = 222,922.87

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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.