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Finding the Fourth Proportional to 302,021.93, 452,751.10 and 102,203.30

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Solution

The fourth proportional to 302,021.93, 452,751.10 and 102,203.30 is: 153,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,021.93 : 452,751.10 = 102,203.30 : x
  2. Step 2: Convert to fraction form
    302,021.93/452,751.10 = 102,203.30/x
  3. Step 3: Cross multiply
    302,021.93x = 452,751.10 × 102,203.30
  4. Step 4: Simplify right side
    302,021.93x = 46,272,656,498.63
  5. Step 5: Solve for x
    x = 46,272,656,498.63/302,021.93
  6. Step 6: Final answer
    x = 153,209.59

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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.