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Finding the Fourth Proportional to 98,184.96, 147,295.80 and 53,787.24

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Solution

The fourth proportional to 98,184.96, 147,295.80 and 53,787.24 is: 80,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,184.96 : 147,295.80 = 53,787.24 : x
  2. Step 2: Convert to fraction form
    98,184.96/147,295.80 = 53,787.24/x
  3. Step 3: Cross multiply
    98,184.96x = 147,295.80 × 53,787.24
  4. Step 4: Simplify right side
    98,184.96x = 7,922,634,545.59
  5. Step 5: Solve for x
    x = 7,922,634,545.59/98,184.96
  6. Step 6: Final answer
    x = 80,690.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.