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Finding the Fourth Proportional to 119,266.80, 178,878.56 and 48,186.80

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Solution

The fourth proportional to 119,266.80, 178,878.56 and 48,186.80 is: 72,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,266.80 : 178,878.56 = 48,186.80 : x
  2. Step 2: Convert to fraction form
    119,266.80/178,878.56 = 48,186.80/x
  3. Step 3: Cross multiply
    119,266.80x = 178,878.56 × 48,186.80
  4. Step 4: Simplify right side
    119,266.80x = 8,619,585,395.01
  5. Step 5: Solve for x
    x = 8,619,585,395.01/119,266.80
  6. Step 6: Final answer
    x = 72,271.46

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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.