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Finding the Fourth Proportional to 177,482, 266,223 and 46,154

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Solution

The fourth proportional to 177,482, 266,223 and 46,154 is: 69,231

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,482 : 266,223 = 46,154 : x
  2. Step 2: Convert to fraction form
    177,482/266,223 = 46,154/x
  3. Step 3: Cross multiply
    177,482x = 266,223 × 46,154
  4. Step 4: Simplify right side
    177,482x = 12,287,256,342
  5. Step 5: Solve for x
    x = 12,287,256,342/177,482
  6. Step 6: Final answer
    x = 69,231

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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.