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Finding the Fourth Proportional to 212,099.46, 292,689.72 and 116,605.50

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Solution

The fourth proportional to 212,099.46, 292,689.72 and 116,605.50 is: 160,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,099.46 : 292,689.72 = 116,605.50 : x
  2. Step 2: Convert to fraction form
    212,099.46/292,689.72 = 116,605.50/x
  3. Step 3: Cross multiply
    212,099.46x = 292,689.72 × 116,605.50
  4. Step 4: Simplify right side
    212,099.46x = 34,129,231,145.46
  5. Step 5: Solve for x
    x = 34,129,231,145.46/212,099.46
  6. Step 6: Final answer
    x = 160,911.45

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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.