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Finding the Fourth Proportional to 142,315.92, 196,394.40 and 78,653.79

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Solution

The fourth proportional to 142,315.92, 196,394.40 and 78,653.79 is: 108,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,315.92 : 196,394.40 = 78,653.79 : x
  2. Step 2: Convert to fraction form
    142,315.92/196,394.40 = 78,653.79/x
  3. Step 3: Cross multiply
    142,315.92x = 196,394.40 × 78,653.79
  4. Step 4: Simplify right side
    142,315.92x = 15,447,163,894.78
  5. Step 5: Solve for x
    x = 15,447,163,894.78/142,315.92
  6. Step 6: Final answer
    x = 108,541.36

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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.