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Finding the Fourth Proportional to 208,168.64, 312,252.48 and 160,852.52

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Solution

The fourth proportional to 208,168.64, 312,252.48 and 160,852.52 is: 241,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,168.64 : 312,252.48 = 160,852.52 : x
  2. Step 2: Convert to fraction form
    208,168.64/312,252.48 = 160,852.52/x
  3. Step 3: Cross multiply
    208,168.64x = 312,252.48 × 160,852.52
  4. Step 4: Simplify right side
    208,168.64x = 50,226,598,284.25
  5. Step 5: Solve for x
    x = 50,226,598,284.25/208,168.64
  6. Step 6: Final answer
    x = 241,278.41

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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.