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Finding the Fourth Proportional to 357,899.85, 536,853.49 and 105,184.85

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Solution

The fourth proportional to 357,899.85, 536,853.49 and 105,184.85 is: 157,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,899.85 : 536,853.49 = 105,184.85 : x
  2. Step 2: Convert to fraction form
    357,899.85/536,853.49 = 105,184.85/x
  3. Step 3: Cross multiply
    357,899.85x = 536,853.49 × 105,184.85
  4. Step 4: Simplify right side
    357,899.85x = 56,468,850,870.40
  5. Step 5: Solve for x
    x = 56,468,850,870.40/357,899.85
  6. Step 6: Final answer
    x = 157,778.36

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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.