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Finding the Fourth Proportional to 102,209.40, 141,052.98 and 56,889.30

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Solution

The fourth proportional to 102,209.40, 141,052.98 and 56,889.30 is: 78,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,209.40 : 141,052.98 = 56,889.30 : x
  2. Step 2: Convert to fraction form
    102,209.40/141,052.98 = 56,889.30/x
  3. Step 3: Cross multiply
    102,209.40x = 141,052.98 × 56,889.30
  4. Step 4: Simplify right side
    102,209.40x = 8,024,405,295.11
  5. Step 5: Solve for x
    x = 8,024,405,295.11/102,209.40
  6. Step 6: Final answer
    x = 78,509.46

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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.