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Finding the Fourth Proportional to 109,442.75, 164,011.64 and 61,368.23

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Solution

The fourth proportional to 109,442.75, 164,011.64 and 61,368.23 is: 91,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,442.75 : 164,011.64 = 61,368.23 : x
  2. Step 2: Convert to fraction form
    109,442.75/164,011.64 = 61,368.23/x
  3. Step 3: Cross multiply
    109,442.75x = 164,011.64 × 61,368.23
  4. Step 4: Simplify right side
    109,442.75x = 10,065,104,149.39
  5. Step 5: Solve for x
    x = 10,065,104,149.39/109,442.75
  6. Step 6: Final answer
    x = 91,966.85

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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.