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Finding the Fourth Proportional to 177,252.10, 265,878.15 and 161,700.10

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Solution

The fourth proportional to 177,252.10, 265,878.15 and 161,700.10 is: 242,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,252.10 : 265,878.15 = 161,700.10 : x
  2. Step 2: Convert to fraction form
    177,252.10/265,878.15 = 161,700.10/x
  3. Step 3: Cross multiply
    177,252.10x = 265,878.15 × 161,700.10
  4. Step 4: Simplify right side
    177,252.10x = 42,992,523,442.82
  5. Step 5: Solve for x
    x = 42,992,523,442.82/177,252.10
  6. Step 6: Final answer
    x = 242,550.15

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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.