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Finding the Fourth Proportional to 129,901.10, 194,851.65 and 103,657.10

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Solution

The fourth proportional to 129,901.10, 194,851.65 and 103,657.10 is: 155,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,901.10 : 194,851.65 = 103,657.10 : x
  2. Step 2: Convert to fraction form
    129,901.10/194,851.65 = 103,657.10/x
  3. Step 3: Cross multiply
    129,901.10x = 194,851.65 × 103,657.10
  4. Step 4: Simplify right side
    129,901.10x = 20,197,756,969.22
  5. Step 5: Solve for x
    x = 20,197,756,969.22/129,901.10
  6. Step 6: Final answer
    x = 155,485.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.