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Finding the Fourth Proportional to 302,468.24, 453,743.88 and 102,735

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Solution

The fourth proportional to 302,468.24, 453,743.88 and 102,735 is: 154,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,468.24 : 453,743.88 = 102,735 : x
  2. Step 2: Convert to fraction form
    302,468.24/453,743.88 = 102,735/x
  3. Step 3: Cross multiply
    302,468.24x = 453,743.88 × 102,735
  4. Step 4: Simplify right side
    302,468.24x = 46,615,377,511.80
  5. Step 5: Solve for x
    x = 46,615,377,511.80/302,468.24
  6. Step 6: Final answer
    x = 154,116.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.