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Finding the Fourth Proportional to 122,983.66, 184,412.16 and 56,366.74

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Solution

The fourth proportional to 122,983.66, 184,412.16 and 56,366.74 is: 84,521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,983.66 : 184,412.16 = 56,366.74 : x
  2. Step 2: Convert to fraction form
    122,983.66/184,412.16 = 56,366.74/x
  3. Step 3: Cross multiply
    122,983.66x = 184,412.16 × 56,366.74
  4. Step 4: Simplify right side
    122,983.66x = 10,394,711,353.50
  5. Step 5: Solve for x
    x = 10,394,711,353.50/122,983.66
  6. Step 6: Final answer
    x = 84,521.08

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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.