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Finding the Fourth Proportional to 178,097.68, 267,244.98 and 99,256.36

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Solution

The fourth proportional to 178,097.68, 267,244.98 and 99,256.36 is: 148,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,097.68 : 267,244.98 = 99,256.36 : x
  2. Step 2: Convert to fraction form
    178,097.68/267,244.98 = 99,256.36/x
  3. Step 3: Cross multiply
    178,097.68x = 267,244.98 × 99,256.36
  4. Step 4: Simplify right side
    178,097.68x = 26,525,763,943.07
  5. Step 5: Solve for x
    x = 26,525,763,943.07/178,097.68
  6. Step 6: Final answer
    x = 148,939.41

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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.