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Finding the Fourth Proportional to 122,381.30, 183,522.12 and 38,113.16

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Solution

The fourth proportional to 122,381.30, 183,522.12 and 38,113.16 is: 57,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,381.30 : 183,522.12 = 38,113.16 : x
  2. Step 2: Convert to fraction form
    122,381.30/183,522.12 = 38,113.16/x
  3. Step 3: Cross multiply
    122,381.30x = 183,522.12 × 38,113.16
  4. Step 4: Simplify right side
    122,381.30x = 6,994,607,005.49
  5. Step 5: Solve for x
    x = 6,994,607,005.49/122,381.30
  6. Step 6: Final answer
    x = 57,154.22

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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.