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Finding the Fourth Proportional to 130,715.40, 196,202.70 and 64,230.60

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Solution

The fourth proportional to 130,715.40, 196,202.70 and 64,230.60 is: 96,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,715.40 : 196,202.70 = 64,230.60 : x
  2. Step 2: Convert to fraction form
    130,715.40/196,202.70 = 64,230.60/x
  3. Step 3: Cross multiply
    130,715.40x = 196,202.70 × 64,230.60
  4. Step 4: Simplify right side
    130,715.40x = 12,602,217,142.62
  5. Step 5: Solve for x
    x = 12,602,217,142.62/130,715.40
  6. Step 6: Final answer
    x = 96,409.58

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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.