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Finding the Fourth Proportional to 260,364.35, 390,542.88 and 102,594.17

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Solution

The fourth proportional to 260,364.35, 390,542.88 and 102,594.17 is: 153,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,364.35 : 390,542.88 = 102,594.17 : x
  2. Step 2: Convert to fraction form
    260,364.35/390,542.88 = 102,594.17/x
  3. Step 3: Cross multiply
    260,364.35x = 390,542.88 × 102,594.17
  4. Step 4: Simplify right side
    260,364.35x = 40,067,422,623.01
  5. Step 5: Solve for x
    x = 40,067,422,623.01/260,364.35
  6. Step 6: Final answer
    x = 153,889.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.