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Finding the Fourth Proportional to 142,301, 196,358.64 and 78,635

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Solution

The fourth proportional to 142,301, 196,358.64 and 78,635 is: 108,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,301 : 196,358.64 = 78,635 : x
  2. Step 2: Convert to fraction form
    142,301/196,358.64 = 78,635/x
  3. Step 3: Cross multiply
    142,301x = 196,358.64 × 78,635
  4. Step 4: Simplify right side
    142,301x = 15,440,661,656.40
  5. Step 5: Solve for x
    x = 15,440,661,656.40/142,301
  6. Step 6: Final answer
    x = 108,507.05

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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.