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Finding the Fourth Proportional to 98,114.06, 147,193.04 and 35,784.56

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Solution

The fourth proportional to 98,114.06, 147,193.04 and 35,784.56 is: 53,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,114.06 : 147,193.04 = 35,784.56 : x
  2. Step 2: Convert to fraction form
    98,114.06/147,193.04 = 35,784.56/x
  3. Step 3: Cross multiply
    98,114.06x = 147,193.04 × 35,784.56
  4. Step 4: Simplify right side
    98,114.06x = 5,267,238,628.91
  5. Step 5: Solve for x
    x = 5,267,238,628.91/98,114.06
  6. Step 6: Final answer
    x = 53,684.85

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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.