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Finding the Fourth Proportional to 133,924, 184,815.12 and 74,308

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Solution

The fourth proportional to 133,924, 184,815.12 and 74,308 is: 102,545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,924 : 184,815.12 = 74,308 : x
  2. Step 2: Convert to fraction form
    133,924/184,815.12 = 74,308/x
  3. Step 3: Cross multiply
    133,924x = 184,815.12 × 74,308
  4. Step 4: Simplify right side
    133,924x = 13,733,241,936.96
  5. Step 5: Solve for x
    x = 13,733,241,936.96/133,924
  6. Step 6: Final answer
    x = 102,545.04

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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.