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Finding the Fourth Proportional to 312,000.30, 468,000.45 and 154,196.10

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Solution

The fourth proportional to 312,000.30, 468,000.45 and 154,196.10 is: 231,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,000.30 : 468,000.45 = 154,196.10 : x
  2. Step 2: Convert to fraction form
    312,000.30/468,000.45 = 154,196.10/x
  3. Step 3: Cross multiply
    312,000.30x = 468,000.45 × 154,196.10
  4. Step 4: Simplify right side
    312,000.30x = 72,163,844,188.25
  5. Step 5: Solve for x
    x = 72,163,844,188.25/312,000.30
  6. Step 6: Final answer
    x = 231,294.15

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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.