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Finding the Fourth Proportional to 137,396, 189,606.48 and 77,780

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Solution

The fourth proportional to 137,396, 189,606.48 and 77,780 is: 107,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,396 : 189,606.48 = 77,780 : x
  2. Step 2: Convert to fraction form
    137,396/189,606.48 = 77,780/x
  3. Step 3: Cross multiply
    137,396x = 189,606.48 × 77,780
  4. Step 4: Simplify right side
    137,396x = 14,747,592,014.40
  5. Step 5: Solve for x
    x = 14,747,592,014.40/137,396
  6. Step 6: Final answer
    x = 107,336.40

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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.