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Finding the Fourth Proportional to 106,952.40, 147,597.78 and 61,626.90

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Solution

The fourth proportional to 106,952.40, 147,597.78 and 61,626.90 is: 85,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,952.40 : 147,597.78 = 61,626.90 : x
  2. Step 2: Convert to fraction form
    106,952.40/147,597.78 = 61,626.90/x
  3. Step 3: Cross multiply
    106,952.40x = 147,597.78 × 61,626.90
  4. Step 4: Simplify right side
    106,952.40x = 9,095,993,628.28
  5. Step 5: Solve for x
    x = 9,095,993,628.28/106,952.40
  6. Step 6: Final answer
    x = 85,047.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.