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Finding the Fourth Proportional to 142,430.96, 213,580.57 and 52,450.95

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Solution

The fourth proportional to 142,430.96, 213,580.57 and 52,450.95 is: 78,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,430.96 : 213,580.57 = 52,450.95 : x
  2. Step 2: Convert to fraction form
    142,430.96/213,580.57 = 52,450.95/x
  3. Step 3: Cross multiply
    142,430.96x = 213,580.57 × 52,450.95
  4. Step 4: Simplify right side
    142,430.96x = 11,202,503,798.04
  5. Step 5: Solve for x
    x = 11,202,503,798.04/142,430.96
  6. Step 6: Final answer
    x = 78,652.17

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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.