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Finding the Fourth Proportional to 178,121.39, 267,199.63 and 51,762.74

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Solution

The fourth proportional to 178,121.39, 267,199.63 and 51,762.74 is: 77,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,121.39 : 267,199.63 = 51,762.74 : x
  2. Step 2: Convert to fraction form
    178,121.39/267,199.63 = 51,762.74/x
  3. Step 3: Cross multiply
    178,121.39x = 267,199.63 × 51,762.74
  4. Step 4: Simplify right side
    178,121.39x = 13,830,984,975.79
  5. Step 5: Solve for x
    x = 13,830,984,975.79/178,121.39
  6. Step 6: Final answer
    x = 77,649.21

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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.