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Finding the Fourth Proportional to 302,020.93, 452,748.45 and 102,201.42

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Solution

The fourth proportional to 302,020.93, 452,748.45 and 102,201.42 is: 153,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,020.93 : 452,748.45 = 102,201.42 : x
  2. Step 2: Convert to fraction form
    302,020.93/452,748.45 = 102,201.42/x
  3. Step 3: Cross multiply
    302,020.93x = 452,748.45 × 102,201.42
  4. Step 4: Simplify right side
    302,020.93x = 46,271,534,492.80
  5. Step 5: Solve for x
    x = 46,271,534,492.80/302,020.93
  6. Step 6: Final answer
    x = 153,206.38

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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.