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Finding the Fourth Proportional to 136,136.16, 204,225.30 and 42,633

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Solution

The fourth proportional to 136,136.16, 204,225.30 and 42,633 is: 63,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,136.16 : 204,225.30 = 42,633 : x
  2. Step 2: Convert to fraction form
    136,136.16/204,225.30 = 42,633/x
  3. Step 3: Cross multiply
    136,136.16x = 204,225.30 × 42,633
  4. Step 4: Simplify right side
    136,136.16x = 8,706,737,214.90
  5. Step 5: Solve for x
    x = 8,706,737,214.90/136,136.16
  6. Step 6: Final answer
    x = 63,956.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.