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Finding the Fourth Proportional to 133,620.60, 184,411.98 and 77,034

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Solution

The fourth proportional to 133,620.60, 184,411.98 and 77,034 is: 106,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,620.60 : 184,411.98 = 77,034 : x
  2. Step 2: Convert to fraction form
    133,620.60/184,411.98 = 77,034/x
  3. Step 3: Cross multiply
    133,620.60x = 184,411.98 × 77,034
  4. Step 4: Simplify right side
    133,620.60x = 14,205,992,467.32
  5. Step 5: Solve for x
    x = 14,205,992,467.32/133,620.60
  6. Step 6: Final answer
    x = 106,315.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.