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Finding the Fourth Proportional to 257,682.16, 386,409.93 and 105,774.94

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Solution

The fourth proportional to 257,682.16, 386,409.93 and 105,774.94 is: 158,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,682.16 : 386,409.93 = 105,774.94 : x
  2. Step 2: Convert to fraction form
    257,682.16/386,409.93 = 105,774.94/x
  3. Step 3: Cross multiply
    257,682.16x = 386,409.93 × 105,774.94
  4. Step 4: Simplify right side
    257,682.16x = 40,872,487,161.15
  5. Step 5: Solve for x
    x = 40,872,487,161.15/257,682.16
  6. Step 6: Final answer
    x = 158,615.90

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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.