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Finding the Fourth Proportional to 137,537.30, 189,814.92 and 77,108.06

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Solution

The fourth proportional to 137,537.30, 189,814.92 and 77,108.06 is: 106,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,537.30 : 189,814.92 = 77,108.06 : x
  2. Step 2: Convert to fraction form
    137,537.30/189,814.92 = 77,108.06/x
  3. Step 3: Cross multiply
    137,537.30x = 189,814.92 × 77,108.06
  4. Step 4: Simplify right side
    137,537.30x = 14,636,260,240.26
  5. Step 5: Solve for x
    x = 14,636,260,240.26/137,537.30
  6. Step 6: Final answer
    x = 106,416.66

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