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Finding the Fourth Proportional to 137,511, 189,765.45 and 77,895

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Solution

The fourth proportional to 137,511, 189,765.45 and 77,895 is: 107,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,511 : 189,765.45 = 77,895 : x
  2. Step 2: Convert to fraction form
    137,511/189,765.45 = 77,895/x
  3. Step 3: Cross multiply
    137,511x = 189,765.45 × 77,895
  4. Step 4: Simplify right side
    137,511x = 14,781,779,727.75
  5. Step 5: Solve for x
    x = 14,781,779,727.75/137,511
  6. Step 6: Final answer
    x = 107,495.25

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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.