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Finding the Fourth Proportional to 302,117.80, 452,010.30 and 197,141.80

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Solution

The fourth proportional to 302,117.80, 452,010.30 and 197,141.80 is: 294,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,117.80 : 452,010.30 = 197,141.80 : x
  2. Step 2: Convert to fraction form
    302,117.80/452,010.30 = 197,141.80/x
  3. Step 3: Cross multiply
    302,117.80x = 452,010.30 × 197,141.80
  4. Step 4: Simplify right side
    302,117.80x = 89,110,124,160.54
  5. Step 5: Solve for x
    x = 89,110,124,160.54/302,117.80
  6. Step 6: Final answer
    x = 294,951.59

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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.