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Finding the Fourth Proportional to 146,314, 201,913.32 and 79,246

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Solution

The fourth proportional to 146,314, 201,913.32 and 79,246 is: 109,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,314 : 201,913.32 = 79,246 : x
  2. Step 2: Convert to fraction form
    146,314/201,913.32 = 79,246/x
  3. Step 3: Cross multiply
    146,314x = 201,913.32 × 79,246
  4. Step 4: Simplify right side
    146,314x = 16,000,822,956.72
  5. Step 5: Solve for x
    x = 16,000,822,956.72/146,314
  6. Step 6: Final answer
    x = 109,359.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.