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Finding the Fourth Proportional to 260,426.88, 390,640.32 and 94,176

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Solution

The fourth proportional to 260,426.88, 390,640.32 and 94,176 is: 141,264

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,426.88 : 390,640.32 = 94,176 : x
  2. Step 2: Convert to fraction form
    260,426.88/390,640.32 = 94,176/x
  3. Step 3: Cross multiply
    260,426.88x = 390,640.32 × 94,176
  4. Step 4: Simplify right side
    260,426.88x = 36,788,942,776.32
  5. Step 5: Solve for x
    x = 36,788,942,776.32/260,426.88
  6. Step 6: Final answer
    x = 141,264

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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.