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Finding the Fourth Proportional to 142,354.14, 196,441.04 and 78,688.14

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Solution

The fourth proportional to 142,354.14, 196,441.04 and 78,688.14 is: 108,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,354.14 : 196,441.04 = 78,688.14 : x
  2. Step 2: Convert to fraction form
    142,354.14/196,441.04 = 78,688.14/x
  3. Step 3: Cross multiply
    142,354.14x = 196,441.04 × 78,688.14
  4. Step 4: Simplify right side
    142,354.14x = 15,457,580,253.99
  5. Step 5: Solve for x
    x = 15,457,580,253.99/142,354.14
  6. Step 6: Final answer
    x = 108,585.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.