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Finding the Fourth Proportional to 171,385.86, 257,076.03 and 46,726.86

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Solution

The fourth proportional to 171,385.86, 257,076.03 and 46,726.86 is: 70,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,385.86 : 257,076.03 = 46,726.86 : x
  2. Step 2: Convert to fraction form
    171,385.86/257,076.03 = 46,726.86/x
  3. Step 3: Cross multiply
    171,385.86x = 257,076.03 × 46,726.86
  4. Step 4: Simplify right side
    171,385.86x = 12,012,355,663.17
  5. Step 5: Solve for x
    x = 12,012,355,663.17/171,385.86
  6. Step 6: Final answer
    x = 70,089.54

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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.