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Finding the Fourth Proportional to 109,972.67, 165,075.65 and 97,404.02

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Solution

The fourth proportional to 109,972.67, 165,075.65 and 97,404.02 is: 146,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,972.67 : 165,075.65 = 97,404.02 : x
  2. Step 2: Convert to fraction form
    109,972.67/165,075.65 = 97,404.02/x
  3. Step 3: Cross multiply
    109,972.67x = 165,075.65 × 97,404.02
  4. Step 4: Simplify right side
    109,972.67x = 16,079,032,133.91
  5. Step 5: Solve for x
    x = 16,079,032,133.91/109,972.67
  6. Step 6: Final answer
    x = 146,209.34

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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.