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Finding the Fourth Proportional to 109,505.80, 164,064.30 and 102,507.40

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Solution

The fourth proportional to 109,505.80, 164,064.30 and 102,507.40 is: 153,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,505.80 : 164,064.30 = 102,507.40 : x
  2. Step 2: Convert to fraction form
    109,505.80/164,064.30 = 102,507.40/x
  3. Step 3: Cross multiply
    109,505.80x = 164,064.30 × 102,507.40
  4. Step 4: Simplify right side
    109,505.80x = 16,817,804,825.82
  5. Step 5: Solve for x
    x = 16,817,804,825.82/109,505.80
  6. Step 6: Final answer
    x = 153,579.12

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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.