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Finding the Fourth Proportional to 102,102.93, 140,903.55 and 56,785.86

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Solution

The fourth proportional to 102,102.93, 140,903.55 and 56,785.86 is: 78,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,102.93 : 140,903.55 = 56,785.86 : x
  2. Step 2: Convert to fraction form
    102,102.93/140,903.55 = 56,785.86/x
  3. Step 3: Cross multiply
    102,102.93x = 140,903.55 × 56,785.86
  4. Step 4: Simplify right side
    102,102.93x = 8,001,329,263.80
  5. Step 5: Solve for x
    x = 8,001,329,263.80/102,102.93
  6. Step 6: Final answer
    x = 78,365.32

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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.