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Finding the Fourth Proportional to 142,430.40, 213,645.60 and 89,286.30

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Solution

The fourth proportional to 142,430.40, 213,645.60 and 89,286.30 is: 133,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,430.40 : 213,645.60 = 89,286.30 : x
  2. Step 2: Convert to fraction form
    142,430.40/213,645.60 = 89,286.30/x
  3. Step 3: Cross multiply
    142,430.40x = 213,645.60 × 89,286.30
  4. Step 4: Simplify right side
    142,430.40x = 19,075,625,135.28
  5. Step 5: Solve for x
    x = 19,075,625,135.28/142,430.40
  6. Step 6: Final answer
    x = 133,929.45

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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.