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Finding the Fourth Proportional to 98,774.40, 147,942.90 and 81,278.40

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Solution

The fourth proportional to 98,774.40, 147,942.90 and 81,278.40 is: 121,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,774.40 : 147,942.90 = 81,278.40 : x
  2. Step 2: Convert to fraction form
    98,774.40/147,942.90 = 81,278.40/x
  3. Step 3: Cross multiply
    98,774.40x = 147,942.90 × 81,278.40
  4. Step 4: Simplify right side
    98,774.40x = 12,024,562,203.36
  5. Step 5: Solve for x
    x = 12,024,562,203.36/98,774.40
  6. Step 6: Final answer
    x = 121,737.64

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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.