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Finding the Fourth Proportional to 109,361.80, 164,079.15 and 97,603.30

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Solution

The fourth proportional to 109,361.80, 164,079.15 and 97,603.30 is: 146,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,361.80 : 164,079.15 = 97,603.30 : x
  2. Step 2: Convert to fraction form
    109,361.80/164,079.15 = 97,603.30/x
  3. Step 3: Cross multiply
    109,361.80x = 164,079.15 × 97,603.30
  4. Step 4: Simplify right side
    109,361.80x = 16,014,666,501.20
  5. Step 5: Solve for x
    x = 16,014,666,501.20/109,361.80
  6. Step 6: Final answer
    x = 146,437.48

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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.