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Finding the Fourth Proportional to 165,176.19, 247,782.47 and 52,830

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Solution

The fourth proportional to 165,176.19, 247,782.47 and 52,830 is: 79,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,176.19 : 247,782.47 = 52,830 : x
  2. Step 2: Convert to fraction form
    165,176.19/247,782.47 = 52,830/x
  3. Step 3: Cross multiply
    165,176.19x = 247,782.47 × 52,830
  4. Step 4: Simplify right side
    165,176.19x = 13,090,347,625.95
  5. Step 5: Solve for x
    x = 13,090,347,625.95/165,176.19
  6. Step 6: Final answer
    x = 79,250.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.