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Finding the Fourth Proportional to 175,646.30, 242,396.61 and 106,712.30

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Solution

The fourth proportional to 175,646.30, 242,396.61 and 106,712.30 is: 147,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,646.30 : 242,396.61 = 106,712.30 : x
  2. Step 2: Convert to fraction form
    175,646.30/242,396.61 = 106,712.30/x
  3. Step 3: Cross multiply
    175,646.30x = 242,396.61 × 106,712.30
  4. Step 4: Simplify right side
    175,646.30x = 25,866,700,371.29
  5. Step 5: Solve for x
    x = 25,866,700,371.29/175,646.30
  6. Step 6: Final answer
    x = 147,265.84

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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.