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Finding the Fourth Proportional to 106,626, 147,156.88 and 61,914

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Solution

The fourth proportional to 106,626, 147,156.88 and 61,914 is: 85,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,626 : 147,156.88 = 61,914 : x
  2. Step 2: Convert to fraction form
    106,626/147,156.88 = 61,914/x
  3. Step 3: Cross multiply
    106,626x = 147,156.88 × 61,914
  4. Step 4: Simplify right side
    106,626x = 9,111,071,068.32
  5. Step 5: Solve for x
    x = 9,111,071,068.32/106,626
  6. Step 6: Final answer
    x = 85,448.87

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