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Finding the Fourth Proportional to 177,496, 266,282.88 and 66,688

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Solution

The fourth proportional to 177,496, 266,282.88 and 66,688 is: 100,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,496 : 266,282.88 = 66,688 : x
  2. Step 2: Convert to fraction form
    177,496/266,282.88 = 66,688/x
  3. Step 3: Cross multiply
    177,496x = 266,282.88 × 66,688
  4. Step 4: Simplify right side
    177,496x = 17,757,872,701.44
  5. Step 5: Solve for x
    x = 17,757,872,701.44/177,496
  6. Step 6: Final answer
    x = 100,046.61

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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.