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Finding the Fourth Proportional to 133,638.95, 184,416.93 and 76,281.23

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Solution

The fourth proportional to 133,638.95, 184,416.93 and 76,281.23 is: 105,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,638.95 : 184,416.93 = 76,281.23 : x
  2. Step 2: Convert to fraction form
    133,638.95/184,416.93 = 76,281.23/x
  3. Step 3: Cross multiply
    133,638.95x = 184,416.93 × 76,281.23
  4. Step 4: Simplify right side
    133,638.95x = 14,067,549,331.14
  5. Step 5: Solve for x
    x = 14,067,549,331.14/133,638.95
  6. Step 6: Final answer
    x = 105,265.34

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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.