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Finding the Fourth Proportional to 132,803.04, 199,059.62 and 65,381.48

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Solution

The fourth proportional to 132,803.04, 199,059.62 and 65,381.48 is: 98,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,803.04 : 199,059.62 = 65,381.48 : x
  2. Step 2: Convert to fraction form
    132,803.04/199,059.62 = 65,381.48/x
  3. Step 3: Cross multiply
    132,803.04x = 199,059.62 × 65,381.48
  4. Step 4: Simplify right side
    132,803.04x = 13,014,812,563.84
  5. Step 5: Solve for x
    x = 13,014,812,563.84/132,803.04
  6. Step 6: Final answer
    x = 98,000.86

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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.