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Finding the Fourth Proportional to 154,329.86, 212,983.49 and 86,342.77

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Solution

The fourth proportional to 154,329.86, 212,983.49 and 86,342.77 is: 119,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,329.86 : 212,983.49 = 86,342.77 : x
  2. Step 2: Convert to fraction form
    154,329.86/212,983.49 = 86,342.77/x
  3. Step 3: Cross multiply
    154,329.86x = 212,983.49 × 86,342.77
  4. Step 4: Simplify right side
    154,329.86x = 18,389,584,490.87
  5. Step 5: Solve for x
    x = 18,389,584,490.87/154,329.86
  6. Step 6: Final answer
    x = 119,157.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.