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Finding the Fourth Proportional to 177,706.90, 266,466.75 and 65,358.10

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Solution

The fourth proportional to 177,706.90, 266,466.75 and 65,358.10 is: 98,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,706.90 : 266,466.75 = 65,358.10 : x
  2. Step 2: Convert to fraction form
    177,706.90/266,466.75 = 65,358.10/x
  3. Step 3: Cross multiply
    177,706.90x = 266,466.75 × 65,358.10
  4. Step 4: Simplify right side
    177,706.90x = 17,415,760,493.18
  5. Step 5: Solve for x
    x = 17,415,760,493.18/177,706.90
  6. Step 6: Final answer
    x = 98,002.73

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1.5x scale

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.