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Finding the Fourth Proportional to 142,152.65, 196,171.61 and 77,622.34

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Solution

The fourth proportional to 142,152.65, 196,171.61 and 77,622.34 is: 107,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,152.65 : 196,171.61 = 77,622.34 : x
  2. Step 2: Convert to fraction form
    142,152.65/196,171.61 = 77,622.34/x
  3. Step 3: Cross multiply
    142,152.65x = 196,171.61 × 77,622.34
  4. Step 4: Simplify right side
    142,152.65x = 15,227,298,428.91
  5. Step 5: Solve for x
    x = 15,227,298,428.91/142,152.65
  6. Step 6: Final answer
    x = 107,119.34

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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.