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Finding the Fourth Proportional to 242,883.14, 364,034 and 171,698.10

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Solution

The fourth proportional to 242,883.14, 364,034 and 171,698.10 is: 257,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,883.14 : 364,034 = 171,698.10 : x
  2. Step 2: Convert to fraction form
    242,883.14/364,034 = 171,698.10/x
  3. Step 3: Cross multiply
    242,883.14x = 364,034 × 171,698.10
  4. Step 4: Simplify right side
    242,883.14x = 62,503,946,135.40
  5. Step 5: Solve for x
    x = 62,503,946,135.40/242,883.14
  6. Step 6: Final answer
    x = 257,341.64

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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.