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Finding the Fourth Proportional to 161,903.64, 242,708.44 and 56,665.20

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Solution

The fourth proportional to 161,903.64, 242,708.44 and 56,665.20 is: 84,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,903.64 : 242,708.44 = 56,665.20 : x
  2. Step 2: Convert to fraction form
    161,903.64/242,708.44 = 56,665.20/x
  3. Step 3: Cross multiply
    161,903.64x = 242,708.44 × 56,665.20
  4. Step 4: Simplify right side
    161,903.64x = 13,753,122,294.29
  5. Step 5: Solve for x
    x = 13,753,122,294.29/161,903.64
  6. Step 6: Final answer
    x = 84,946.34

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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.