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Finding the Fourth Proportional to 109,665.70, 164,206.95 and 70,008.10

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Solution

The fourth proportional to 109,665.70, 164,206.95 and 70,008.10 is: 104,826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,665.70 : 164,206.95 = 70,008.10 : x
  2. Step 2: Convert to fraction form
    109,665.70/164,206.95 = 70,008.10/x
  3. Step 3: Cross multiply
    109,665.70x = 164,206.95 × 70,008.10
  4. Step 4: Simplify right side
    109,665.70x = 11,495,816,576.30
  5. Step 5: Solve for x
    x = 11,495,816,576.30/109,665.70
  6. Step 6: Final answer
    x = 104,826.00

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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.