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Finding the Fourth Proportional to 102,245.94, 141,053.94 and 59,785.74

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Solution

The fourth proportional to 102,245.94, 141,053.94 and 59,785.74 is: 82,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,245.94 : 141,053.94 = 59,785.74 : x
  2. Step 2: Convert to fraction form
    102,245.94/141,053.94 = 59,785.74/x
  3. Step 3: Cross multiply
    102,245.94x = 141,053.94 × 59,785.74
  4. Step 4: Simplify right side
    102,245.94x = 8,433,014,182.82
  5. Step 5: Solve for x
    x = 8,433,014,182.82/102,245.94
  6. Step 6: Final answer
    x = 82,477.74

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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.