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Finding the Fourth Proportional to 152,859.96, 211,049.54 and 116,985.88

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Solution

The fourth proportional to 152,859.96, 211,049.54 and 116,985.88 is: 161,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,859.96 : 211,049.54 = 116,985.88 : x
  2. Step 2: Convert to fraction form
    152,859.96/211,049.54 = 116,985.88/x
  3. Step 3: Cross multiply
    152,859.96x = 211,049.54 × 116,985.88
  4. Step 4: Simplify right side
    152,859.96x = 24,689,816,160.50
  5. Step 5: Solve for x
    x = 24,689,816,160.50/152,859.96
  6. Step 6: Final answer
    x = 161,519.19

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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.