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Finding the Fourth Proportional to 208,417.32, 287,612.12 and 117,771.36

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Solution

The fourth proportional to 208,417.32, 287,612.12 and 117,771.36 is: 162,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,417.32 : 287,612.12 = 117,771.36 : x
  2. Step 2: Convert to fraction form
    208,417.32/287,612.12 = 117,771.36/x
  3. Step 3: Cross multiply
    208,417.32x = 287,612.12 × 117,771.36
  4. Step 4: Simplify right side
    208,417.32x = 33,872,470,524.88
  5. Step 5: Solve for x
    x = 33,872,470,524.88/208,417.32
  6. Step 6: Final answer
    x = 162,522.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.