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Finding the Fourth Proportional to 102,308.77, 141,182.11 and 56,985.58

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Solution

The fourth proportional to 102,308.77, 141,182.11 and 56,985.58 is: 78,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,308.77 : 141,182.11 = 56,985.58 : x
  2. Step 2: Convert to fraction form
    102,308.77/141,182.11 = 56,985.58/x
  3. Step 3: Cross multiply
    102,308.77x = 141,182.11 × 56,985.58
  4. Step 4: Simplify right side
    102,308.77x = 8,045,344,037.81
  5. Step 5: Solve for x
    x = 8,045,344,037.81/102,308.77
  6. Step 6: Final answer
    x = 78,637.87

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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.