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Finding the Fourth Proportional to 177,848.70, 266,967.45 and 111,363.90

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Solution

The fourth proportional to 177,848.70, 266,967.45 and 111,363.90 is: 167,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,848.70 : 266,967.45 = 111,363.90 : x
  2. Step 2: Convert to fraction form
    177,848.70/266,967.45 = 111,363.90/x
  3. Step 3: Cross multiply
    177,848.70x = 266,967.45 × 111,363.90
  4. Step 4: Simplify right side
    177,848.70x = 29,730,536,405.06
  5. Step 5: Solve for x
    x = 29,730,536,405.06/177,848.70
  6. Step 6: Final answer
    x = 167,167.58

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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.