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Finding the Fourth Proportional to 101,033.80, 151,769.40 and 97,315.90

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Solution

The fourth proportional to 101,033.80, 151,769.40 and 97,315.90 is: 146,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,033.80 : 151,769.40 = 97,315.90 : x
  2. Step 2: Convert to fraction form
    101,033.80/151,769.40 = 97,315.90/x
  3. Step 3: Cross multiply
    101,033.80x = 151,769.40 × 97,315.90
  4. Step 4: Simplify right side
    101,033.80x = 14,769,575,753.46
  5. Step 5: Solve for x
    x = 14,769,575,753.46/101,033.80
  6. Step 6: Final answer
    x = 146,184.50

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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.