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Finding the Fourth Proportional to 302,062.77, 452,811.20 and 102,243.33

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Solution

The fourth proportional to 302,062.77, 452,811.20 and 102,243.33 is: 153,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,062.77 : 452,811.20 = 102,243.33 : x
  2. Step 2: Convert to fraction form
    302,062.77/452,811.20 = 102,243.33/x
  3. Step 3: Cross multiply
    302,062.77x = 452,811.20 × 102,243.33
  4. Step 4: Simplify right side
    302,062.77x = 46,296,924,438.08
  5. Step 5: Solve for x
    x = 46,296,924,438.08/302,062.77
  6. Step 6: Final answer
    x = 153,269.22

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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.