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Finding the Fourth Proportional to 259,395.19, 357,904.41 and 157,418.35

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Solution

The fourth proportional to 259,395.19, 357,904.41 and 157,418.35 is: 217,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,395.19 : 357,904.41 = 157,418.35 : x
  2. Step 2: Convert to fraction form
    259,395.19/357,904.41 = 157,418.35/x
  3. Step 3: Cross multiply
    259,395.19x = 357,904.41 × 157,418.35
  4. Step 4: Simplify right side
    259,395.19x = 56,340,721,679.92
  5. Step 5: Solve for x
    x = 56,340,721,679.92/259,395.19
  6. Step 6: Final answer
    x = 217,200.33

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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.