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Finding the Fourth Proportional to 142,335.84, 196,439.44 and 85,746

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Solution

The fourth proportional to 142,335.84, 196,439.44 and 85,746 is: 118,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,335.84 : 196,439.44 = 85,746 : x
  2. Step 2: Convert to fraction form
    142,335.84/196,439.44 = 85,746/x
  3. Step 3: Cross multiply
    142,335.84x = 196,439.44 × 85,746
  4. Step 4: Simplify right side
    142,335.84x = 16,843,896,222.24
  5. Step 5: Solve for x
    x = 16,843,896,222.24/142,335.84
  6. Step 6: Final answer
    x = 118,339.11

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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.