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Finding the Fourth Proportional to 210,410.42, 290,355.45 and 114,898.46

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Solution

The fourth proportional to 210,410.42, 290,355.45 and 114,898.46 is: 158,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,410.42 : 290,355.45 = 114,898.46 : x
  2. Step 2: Convert to fraction form
    210,410.42/290,355.45 = 114,898.46/x
  3. Step 3: Cross multiply
    210,410.42x = 290,355.45 × 114,898.46
  4. Step 4: Simplify right side
    210,410.42x = 33,361,394,057.61
  5. Step 5: Solve for x
    x = 33,361,394,057.61/210,410.42
  6. Step 6: Final answer
    x = 158,553.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.