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Finding the Fourth Proportional to 98,177.67, 147,266.46 and 28,057.01

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Solution

The fourth proportional to 98,177.67, 147,266.46 and 28,057.01 is: 42,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,177.67 : 147,266.46 = 28,057.01 : x
  2. Step 2: Convert to fraction form
    98,177.67/147,266.46 = 28,057.01/x
  3. Step 3: Cross multiply
    98,177.67x = 147,266.46 × 28,057.01
  4. Step 4: Simplify right side
    98,177.67x = 4,131,855,804.55
  5. Step 5: Solve for x
    x = 4,131,855,804.55/98,177.67
  6. Step 6: Final answer
    x = 42,085.49

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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.