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Finding the Fourth Proportional to 102,614.58, 141,622.29 and 57,295.50

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Solution

The fourth proportional to 102,614.58, 141,622.29 and 57,295.50 is: 79,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,614.58 : 141,622.29 = 57,295.50 : x
  2. Step 2: Convert to fraction form
    102,614.58/141,622.29 = 57,295.50/x
  3. Step 3: Cross multiply
    102,614.58x = 141,622.29 × 57,295.50
  4. Step 4: Simplify right side
    102,614.58x = 8,114,319,343.05
  5. Step 5: Solve for x
    x = 8,114,319,343.05/102,614.58
  6. Step 6: Final answer
    x = 79,075.70

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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.