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Finding the Fourth Proportional to 130,683.96, 196,002.50 and 34,621.82

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Solution

The fourth proportional to 130,683.96, 196,002.50 and 34,621.82 is: 51,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,683.96 : 196,002.50 = 34,621.82 : x
  2. Step 2: Convert to fraction form
    130,683.96/196,002.50 = 34,621.82/x
  3. Step 3: Cross multiply
    130,683.96x = 196,002.50 × 34,621.82
  4. Step 4: Simplify right side
    130,683.96x = 6,785,963,274.55
  5. Step 5: Solve for x
    x = 6,785,963,274.55/130,683.96
  6. Step 6: Final answer
    x = 51,926.52

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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.