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Finding the Fourth Proportional to 151,120, 226,678.65 and 56,346.96

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Solution

The fourth proportional to 151,120, 226,678.65 and 56,346.96 is: 84,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,120 : 226,678.65 = 56,346.96 : x
  2. Step 2: Convert to fraction form
    151,120/226,678.65 = 56,346.96/x
  3. Step 3: Cross multiply
    151,120x = 226,678.65 × 56,346.96
  4. Step 4: Simplify right side
    151,120x = 12,772,652,824.40
  5. Step 5: Solve for x
    x = 12,772,652,824.40/151,120
  6. Step 6: Final answer
    x = 84,519.94

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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.