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Finding the Fourth Proportional to 178,199.62, 267,303.06 and 65,821.96

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Solution

The fourth proportional to 178,199.62, 267,303.06 and 65,821.96 is: 98,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,199.62 : 267,303.06 = 65,821.96 : x
  2. Step 2: Convert to fraction form
    178,199.62/267,303.06 = 65,821.96/x
  3. Step 3: Cross multiply
    178,199.62x = 267,303.06 × 65,821.96
  4. Step 4: Simplify right side
    178,199.62x = 17,594,411,323.20
  5. Step 5: Solve for x
    x = 17,594,411,323.20/178,199.62
  6. Step 6: Final answer
    x = 98,734.28

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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.