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Finding the Fourth Proportional to 98,953.01, 148,462.38 and 65,803.62

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Solution

The fourth proportional to 98,953.01, 148,462.38 and 65,803.62 is: 98,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,953.01 : 148,462.38 = 65,803.62 : x
  2. Step 2: Convert to fraction form
    98,953.01/148,462.38 = 65,803.62/x
  3. Step 3: Cross multiply
    98,953.01x = 148,462.38 × 65,803.62
  4. Step 4: Simplify right side
    98,953.01x = 9,769,362,037.82
  5. Step 5: Solve for x
    x = 9,769,362,037.82/98,953.01
  6. Step 6: Final answer
    x = 98,727.29

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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.