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Finding the Fourth Proportional to 264,177.60, 364,531.20 and 151,008

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Solution

The fourth proportional to 264,177.60, 364,531.20 and 151,008 is: 208,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,177.60 : 364,531.20 = 151,008 : x
  2. Step 2: Convert to fraction form
    264,177.60/364,531.20 = 151,008/x
  3. Step 3: Cross multiply
    264,177.60x = 364,531.20 × 151,008
  4. Step 4: Simplify right side
    264,177.60x = 55,047,127,449.60
  5. Step 5: Solve for x
    x = 55,047,127,449.60/264,177.60
  6. Step 6: Final answer
    x = 208,371.67

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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.