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Finding the Fourth Proportional to 178,002.99, 267,026.49 and 65,683.80

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Solution

The fourth proportional to 178,002.99, 267,026.49 and 65,683.80 is: 98,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,002.99 : 267,026.49 = 65,683.80 : x
  2. Step 2: Convert to fraction form
    178,002.99/267,026.49 = 65,683.80/x
  3. Step 3: Cross multiply
    178,002.99x = 267,026.49 × 65,683.80
  4. Step 4: Simplify right side
    178,002.99x = 17,539,314,563.86
  5. Step 5: Solve for x
    x = 17,539,314,563.86/178,002.99
  6. Step 6: Final answer
    x = 98,533.82

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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.