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Finding the Fourth Proportional to 109,511.10, 164,266.65 and 109,511.10

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Solution

The fourth proportional to 109,511.10, 164,266.65 and 109,511.10 is: 164,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,511.10 : 164,266.65 = 109,511.10 : x
  2. Step 2: Convert to fraction form
    109,511.10/164,266.65 = 109,511.10/x
  3. Step 3: Cross multiply
    109,511.10x = 164,266.65 × 109,511.10
  4. Step 4: Simplify right side
    109,511.10x = 17,989,021,534.82
  5. Step 5: Solve for x
    x = 17,989,021,534.82/109,511.10
  6. Step 6: Final answer
    x = 164,266.65

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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.