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Finding the Fourth Proportional to 212,261.96, 292,894.82 and 143,500.95

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Solution

The fourth proportional to 212,261.96, 292,894.82 and 143,500.95 is: 198,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,261.96 : 292,894.82 = 143,500.95 : x
  2. Step 2: Convert to fraction form
    212,261.96/292,894.82 = 143,500.95/x
  3. Step 3: Cross multiply
    212,261.96x = 292,894.82 × 143,500.95
  4. Step 4: Simplify right side
    212,261.96x = 42,030,684,920.08
  5. Step 5: Solve for x
    x = 42,030,684,920.08/212,261.96
  6. Step 6: Final answer
    x = 198,013.27

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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.