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Finding the Fourth Proportional to 223,193.68, 334,802.04 and 56,983.12

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Solution

The fourth proportional to 223,193.68, 334,802.04 and 56,983.12 is: 85,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,193.68 : 334,802.04 = 56,983.12 : x
  2. Step 2: Convert to fraction form
    223,193.68/334,802.04 = 56,983.12/x
  3. Step 3: Cross multiply
    223,193.68x = 334,802.04 × 56,983.12
  4. Step 4: Simplify right side
    223,193.68x = 19,078,064,821.56
  5. Step 5: Solve for x
    x = 19,078,064,821.56/223,193.68
  6. Step 6: Final answer
    x = 85,477.62

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Why These Related Problems?

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