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Finding the Fourth Proportional to 177,116.70, 266,193.45 and 154,307.10

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Solution

The fourth proportional to 177,116.70, 266,193.45 and 154,307.10 is: 231,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,116.70 : 266,193.45 = 154,307.10 : x
  2. Step 2: Convert to fraction form
    177,116.70/266,193.45 = 154,307.10/x
  3. Step 3: Cross multiply
    177,116.70x = 266,193.45 × 154,307.10
  4. Step 4: Simplify right side
    177,116.70x = 41,075,539,308.50
  5. Step 5: Solve for x
    x = 41,075,539,308.50/177,116.70
  6. Step 6: Final answer
    x = 231,912.29

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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.