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Finding the Fourth Proportional to 133,962, 184,867.56 and 74,346

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Solution

The fourth proportional to 133,962, 184,867.56 and 74,346 is: 102,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,962 : 184,867.56 = 74,346 : x
  2. Step 2: Convert to fraction form
    133,962/184,867.56 = 74,346/x
  3. Step 3: Cross multiply
    133,962x = 184,867.56 × 74,346
  4. Step 4: Simplify right side
    133,962x = 13,744,163,615.76
  5. Step 5: Solve for x
    x = 13,744,163,615.76/133,962
  6. Step 6: Final answer
    x = 102,597.48

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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.