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Finding the Fourth Proportional to 123,802.30, 185,743.32 and 56,358.48

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Solution

The fourth proportional to 123,802.30, 185,743.32 and 56,358.48 is: 84,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,802.30 : 185,743.32 = 56,358.48 : x
  2. Step 2: Convert to fraction form
    123,802.30/185,743.32 = 56,358.48/x
  3. Step 3: Cross multiply
    123,802.30x = 185,743.32 × 56,358.48
  4. Step 4: Simplify right side
    123,802.30x = 10,468,211,185.35
  5. Step 5: Solve for x
    x = 10,468,211,185.35/123,802.30
  6. Step 6: Final answer
    x = 84,555.87

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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.