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Finding the Fourth Proportional to 212,098.12, 292,697.39 and 116,605.50

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Solution

The fourth proportional to 212,098.12, 292,697.39 and 116,605.50 is: 160,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,098.12 : 292,697.39 = 116,605.50 : x
  2. Step 2: Convert to fraction form
    212,098.12/292,697.39 = 116,605.50/x
  3. Step 3: Cross multiply
    212,098.12x = 292,697.39 × 116,605.50
  4. Step 4: Simplify right side
    212,098.12x = 34,130,125,801.16
  5. Step 5: Solve for x
    x = 34,130,125,801.16/212,098.12
  6. Step 6: Final answer
    x = 160,916.68

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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.