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Finding the Fourth Proportional to 199,403.40, 298,376.10 and 146,915.40

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Solution

The fourth proportional to 199,403.40, 298,376.10 and 146,915.40 is: 219,835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,403.40 : 298,376.10 = 146,915.40 : x
  2. Step 2: Convert to fraction form
    199,403.40/298,376.10 = 146,915.40/x
  3. Step 3: Cross multiply
    199,403.40x = 298,376.10 × 146,915.40
  4. Step 4: Simplify right side
    199,403.40x = 43,836,044,081.94
  5. Step 5: Solve for x
    x = 43,836,044,081.94/199,403.40
  6. Step 6: Final answer
    x = 219,835.99

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Why These Related Problems?

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