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Finding the Fourth Proportional to 109,136.34, 163,507.51 and 45,843.17

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Solution

The fourth proportional to 109,136.34, 163,507.51 and 45,843.17 is: 68,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,136.34 : 163,507.51 = 45,843.17 : x
  2. Step 2: Convert to fraction form
    109,136.34/163,507.51 = 45,843.17/x
  3. Step 3: Cross multiply
    109,136.34x = 163,507.51 × 45,843.17
  4. Step 4: Simplify right side
    109,136.34x = 7,495,702,577.21
  5. Step 5: Solve for x
    x = 7,495,702,577.21/109,136.34
  6. Step 6: Final answer
    x = 68,682.00

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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.