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Finding the Fourth Proportional to 144,932.10, 217,106.55 and 97,692.90

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Solution

The fourth proportional to 144,932.10, 217,106.55 and 97,692.90 is: 146,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,932.10 : 217,106.55 = 97,692.90 : x
  2. Step 2: Convert to fraction form
    144,932.10/217,106.55 = 97,692.90/x
  3. Step 3: Cross multiply
    144,932.10x = 217,106.55 × 97,692.90
  4. Step 4: Simplify right side
    144,932.10x = 21,209,768,478.50
  5. Step 5: Solve for x
    x = 21,209,768,478.50/144,932.10
  6. Step 6: Final answer
    x = 146,342.79

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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.