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Finding the Fourth Proportional to 98,993.64, 148,534.61 and 45,656.94

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Solution

The fourth proportional to 98,993.64, 148,534.61 and 45,656.94 is: 68,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,993.64 : 148,534.61 = 45,656.94 : x
  2. Step 2: Convert to fraction form
    98,993.64/148,534.61 = 45,656.94/x
  3. Step 3: Cross multiply
    98,993.64x = 148,534.61 × 45,656.94
  4. Step 4: Simplify right side
    98,993.64x = 6,781,635,776.69
  5. Step 5: Solve for x
    x = 6,781,635,776.69/98,993.64
  6. Step 6: Final answer
    x = 68,505.77

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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.