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Finding the Fourth Proportional to 178,543.20, 267,814.80 and 175,918.80

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Solution

The fourth proportional to 178,543.20, 267,814.80 and 175,918.80 is: 263,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,543.20 : 267,814.80 = 175,918.80 : x
  2. Step 2: Convert to fraction form
    178,543.20/267,814.80 = 175,918.80/x
  3. Step 3: Cross multiply
    178,543.20x = 267,814.80 × 175,918.80
  4. Step 4: Simplify right side
    178,543.20x = 47,113,658,238.24
  5. Step 5: Solve for x
    x = 47,113,658,238.24/178,543.20
  6. Step 6: Final answer
    x = 263,878.20

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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.