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Finding the Fourth Proportional to 234,122.42, 323,228.14 and 153,690.64

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Solution

The fourth proportional to 234,122.42, 323,228.14 and 153,690.64 is: 212,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,122.42 : 323,228.14 = 153,690.64 : x
  2. Step 2: Convert to fraction form
    234,122.42/323,228.14 = 153,690.64/x
  3. Step 3: Cross multiply
    234,122.42x = 323,228.14 × 153,690.64
  4. Step 4: Simplify right side
    234,122.42x = 49,677,139,702.61
  5. Step 5: Solve for x
    x = 49,677,139,702.61/234,122.42
  6. Step 6: Final answer
    x = 212,184.46

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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.