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Finding the Fourth Proportional to 97,681.80, 146,123.04 and 73,811.90

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Solution

The fourth proportional to 97,681.80, 146,123.04 and 73,811.90 is: 110,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,681.80 : 146,123.04 = 73,811.90 : x
  2. Step 2: Convert to fraction form
    97,681.80/146,123.04 = 73,811.90/x
  3. Step 3: Cross multiply
    97,681.80x = 146,123.04 × 73,811.90
  4. Step 4: Simplify right side
    97,681.80x = 10,785,619,216.18
  5. Step 5: Solve for x
    x = 10,785,619,216.18/97,681.80
  6. Step 6: Final answer
    x = 110,415.85

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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.