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Finding the Fourth Proportional to 217,042.60, 325,175.10 and 185,938.60

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Solution

The fourth proportional to 217,042.60, 325,175.10 and 185,938.60 is: 278,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,042.60 : 325,175.10 = 185,938.60 : x
  2. Step 2: Convert to fraction form
    217,042.60/325,175.10 = 185,938.60/x
  3. Step 3: Cross multiply
    217,042.60x = 325,175.10 × 185,938.60
  4. Step 4: Simplify right side
    217,042.60x = 60,462,602,848.86
  5. Step 5: Solve for x
    x = 60,462,602,848.86/217,042.60
  6. Step 6: Final answer
    x = 278,574.82

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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.