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Finding the Fourth Proportional to 257,656, 355,444.32 and 182,246.08

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Solution

The fourth proportional to 257,656, 355,444.32 and 182,246.08 is: 251,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,656 : 355,444.32 = 182,246.08 : x
  2. Step 2: Convert to fraction form
    257,656/355,444.32 = 182,246.08/x
  3. Step 3: Cross multiply
    257,656x = 355,444.32 × 182,246.08
  4. Step 4: Simplify right side
    257,656x = 64,778,333,978.27
  5. Step 5: Solve for x
    x = 64,778,333,978.27/257,656
  6. Step 6: Final answer
    x = 251,414.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.