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Finding the Fourth Proportional to 133,802.34, 184,644 and 75,654.06

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Solution

The fourth proportional to 133,802.34, 184,644 and 75,654.06 is: 104,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,802.34 : 184,644 = 75,654.06 : x
  2. Step 2: Convert to fraction form
    133,802.34/184,644 = 75,654.06/x
  3. Step 3: Cross multiply
    133,802.34x = 184,644 × 75,654.06
  4. Step 4: Simplify right side
    133,802.34x = 13,969,068,254.64
  5. Step 5: Solve for x
    x = 13,969,068,254.64/133,802.34
  6. Step 6: Final answer
    x = 104,400.78

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