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Finding the Fourth Proportional to 102,135.66, 140,938.98 and 56,810.04

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Solution

The fourth proportional to 102,135.66, 140,938.98 and 56,810.04 is: 78,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,135.66 : 140,938.98 = 56,810.04 : x
  2. Step 2: Convert to fraction form
    102,135.66/140,938.98 = 56,810.04/x
  3. Step 3: Cross multiply
    102,135.66x = 140,938.98 × 56,810.04
  4. Step 4: Simplify right side
    102,135.66x = 8,006,749,091.36
  5. Step 5: Solve for x
    x = 8,006,749,091.36/102,135.66
  6. Step 6: Final answer
    x = 78,393.28

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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.