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Finding the Fourth Proportional to 156,231, 234,386.46 and 45,423

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Solution

The fourth proportional to 156,231, 234,386.46 and 45,423 is: 68,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,231 : 234,386.46 = 45,423 : x
  2. Step 2: Convert to fraction form
    156,231/234,386.46 = 45,423/x
  3. Step 3: Cross multiply
    156,231x = 234,386.46 × 45,423
  4. Step 4: Simplify right side
    156,231x = 10,646,536,172.58
  5. Step 5: Solve for x
    x = 10,646,536,172.58/156,231
  6. Step 6: Final answer
    x = 68,146.12

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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.