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Finding the Fourth Proportional to 109,892.30, 164,838.45 and 74,462.90

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Solution

The fourth proportional to 109,892.30, 164,838.45 and 74,462.90 is: 111,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892.30 : 164,838.45 = 74,462.90 : x
  2. Step 2: Convert to fraction form
    109,892.30/164,838.45 = 74,462.90/x
  3. Step 3: Cross multiply
    109,892.30x = 164,838.45 × 74,462.90
  4. Step 4: Simplify right side
    109,892.30x = 12,274,349,018.51
  5. Step 5: Solve for x
    x = 12,274,349,018.51/109,892.30
  6. Step 6: Final answer
    x = 111,694.35

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1.5x scale

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.