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Finding the Fourth Proportional to 103,202.19, 142,420.20 and 57,262.67

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Solution

The fourth proportional to 103,202.19, 142,420.20 and 57,262.67 is: 79,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202.19 : 142,420.20 = 57,262.67 : x
  2. Step 2: Convert to fraction form
    103,202.19/142,420.20 = 57,262.67/x
  3. Step 3: Cross multiply
    103,202.19x = 142,420.20 × 57,262.67
  4. Step 4: Simplify right side
    103,202.19x = 8,155,360,362.71
  5. Step 5: Solve for x
    x = 8,155,360,362.71/103,202.19
  6. Step 6: Final answer
    x = 79,023.13

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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.