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Finding the Fourth Proportional to 208,752, 288,069.36 and 113,255.04

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Solution

The fourth proportional to 208,752, 288,069.36 and 113,255.04 is: 156,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,752 : 288,069.36 = 113,255.04 : x
  2. Step 2: Convert to fraction form
    208,752/288,069.36 = 113,255.04/x
  3. Step 3: Cross multiply
    208,752x = 288,069.36 × 113,255.04
  4. Step 4: Simplify right side
    208,752x = 32,625,306,889.57
  5. Step 5: Solve for x
    x = 32,625,306,889.57/208,752
  6. Step 6: Final answer
    x = 156,287.40

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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.