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Finding the Fourth Proportional to 102,383.79, 141,290.33 and 57,064.69

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Solution

The fourth proportional to 102,383.79, 141,290.33 and 57,064.69 is: 78,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,383.79 : 141,290.33 = 57,064.69 : x
  2. Step 2: Convert to fraction form
    102,383.79/141,290.33 = 57,064.69/x
  3. Step 3: Cross multiply
    102,383.79x = 141,290.33 × 57,064.69
  4. Step 4: Simplify right side
    102,383.79x = 8,062,688,881.45
  5. Step 5: Solve for x
    x = 8,062,688,881.45/102,383.79
  6. Step 6: Final answer
    x = 78,749.67

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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.