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Finding the Fourth Proportional to 341,663.10, 512,494.65 and 152,123.10

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Solution

The fourth proportional to 341,663.10, 512,494.65 and 152,123.10 is: 228,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,663.10 : 512,494.65 = 152,123.10 : x
  2. Step 2: Convert to fraction form
    341,663.10/512,494.65 = 152,123.10/x
  3. Step 3: Cross multiply
    341,663.10x = 512,494.65 × 152,123.10
  4. Step 4: Simplify right side
    341,663.10x = 77,962,274,891.42
  5. Step 5: Solve for x
    x = 77,962,274,891.42/341,663.10
  6. Step 6: Final answer
    x = 228,184.65

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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.