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Finding the Fourth Proportional to 305,670.34, 458,358.04 and 128,129.68

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Solution

The fourth proportional to 305,670.34, 458,358.04 and 128,129.68 is: 192,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,670.34 : 458,358.04 = 128,129.68 : x
  2. Step 2: Convert to fraction form
    305,670.34/458,358.04 = 128,129.68/x
  3. Step 3: Cross multiply
    305,670.34x = 458,358.04 × 128,129.68
  4. Step 4: Simplify right side
    305,670.34x = 58,729,268,990.63
  5. Step 5: Solve for x
    x = 58,729,268,990.63/305,670.34
  6. Step 6: Final answer
    x = 192,132.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.