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Finding the Fourth Proportional to 142,193.27, 196,226.65 and 78,530.51

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Solution

The fourth proportional to 142,193.27, 196,226.65 and 78,530.51 is: 108,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,193.27 : 196,226.65 = 78,530.51 : x
  2. Step 2: Convert to fraction form
    142,193.27/196,226.65 = 78,530.51/x
  3. Step 3: Cross multiply
    142,193.27x = 196,226.65 × 78,530.51
  4. Step 4: Simplify right side
    142,193.27x = 15,409,779,488.82
  5. Step 5: Solve for x
    x = 15,409,779,488.82/142,193.27
  6. Step 6: Final answer
    x = 108,372.07

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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.