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Finding the Fourth Proportional to 357,910.52, 536,865.90 and 105,191.06

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Solution

The fourth proportional to 357,910.52, 536,865.90 and 105,191.06 is: 157,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,910.52 : 536,865.90 = 105,191.06 : x
  2. Step 2: Convert to fraction form
    357,910.52/536,865.90 = 105,191.06/x
  3. Step 3: Cross multiply
    357,910.52x = 536,865.90 × 105,191.06
  4. Step 4: Simplify right side
    357,910.52x = 56,473,490,315.91
  5. Step 5: Solve for x
    x = 56,473,490,315.91/357,910.52
  6. Step 6: Final answer
    x = 157,786.62

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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.