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Finding the Fourth Proportional to 116,692.20, 175,038.30 and 97,665.30

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Solution

The fourth proportional to 116,692.20, 175,038.30 and 97,665.30 is: 146,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,692.20 : 175,038.30 = 97,665.30 : x
  2. Step 2: Convert to fraction form
    116,692.20/175,038.30 = 97,665.30/x
  3. Step 3: Cross multiply
    116,692.20x = 175,038.30 × 97,665.30
  4. Step 4: Simplify right side
    116,692.20x = 17,095,168,080.99
  5. Step 5: Solve for x
    x = 17,095,168,080.99/116,692.20
  6. Step 6: Final answer
    x = 146,497.95

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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.