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Finding the Fourth Proportional to 177,484, 266,226 and 46,156

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Solution

The fourth proportional to 177,484, 266,226 and 46,156 is: 69,234

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,484 : 266,226 = 46,156 : x
  2. Step 2: Convert to fraction form
    177,484/266,226 = 46,156/x
  3. Step 3: Cross multiply
    177,484x = 266,226 × 46,156
  4. Step 4: Simplify right side
    177,484x = 12,287,927,256
  5. Step 5: Solve for x
    x = 12,287,927,256/177,484
  6. Step 6: Final answer
    x = 69,234

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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.