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Finding the Fourth Proportional to 109,908.30, 164,862.45 and 43,312.17

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Solution

The fourth proportional to 109,908.30, 164,862.45 and 43,312.17 is: 64,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,908.30 : 164,862.45 = 43,312.17 : x
  2. Step 2: Convert to fraction form
    109,908.30/164,862.45 = 43,312.17/x
  3. Step 3: Cross multiply
    109,908.30x = 164,862.45 × 43,312.17
  4. Step 4: Simplify right side
    109,908.30x = 7,140,550,461.02
  5. Step 5: Solve for x
    x = 7,140,550,461.02/109,908.30
  6. Step 6: Final answer
    x = 64,968.26

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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.