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Finding the Fourth Proportional to 98,302.56, 147,365.28 and 66,723.36

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Solution

The fourth proportional to 98,302.56, 147,365.28 and 66,723.36 is: 100,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,302.56 : 147,365.28 = 66,723.36 : x
  2. Step 2: Convert to fraction form
    98,302.56/147,365.28 = 66,723.36/x
  3. Step 3: Cross multiply
    98,302.56x = 147,365.28 × 66,723.36
  4. Step 4: Simplify right side
    98,302.56x = 9,832,706,628.94
  5. Step 5: Solve for x
    x = 9,832,706,628.94/98,302.56
  6. Step 6: Final answer
    x = 100,024.93

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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.