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Finding the Fourth Proportional to 137,666.30, 189,976.45 and 77,235.86

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Solution

The fourth proportional to 137,666.30, 189,976.45 and 77,235.86 is: 106,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,666.30 : 189,976.45 = 77,235.86 : x
  2. Step 2: Convert to fraction form
    137,666.30/189,976.45 = 77,235.86/x
  3. Step 3: Cross multiply
    137,666.30x = 189,976.45 × 77,235.86
  4. Step 4: Simplify right side
    137,666.30x = 14,672,994,495.50
  5. Step 5: Solve for x
    x = 14,672,994,495.50/137,666.30
  6. Step 6: Final answer
    x = 106,583.78

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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.