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Finding the Fourth Proportional to 142,146.95, 213,219.57 and 35,530.38

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Solution

The fourth proportional to 142,146.95, 213,219.57 and 35,530.38 is: 53,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,146.95 : 213,219.57 = 35,530.38 : x
  2. Step 2: Convert to fraction form
    142,146.95/213,219.57 = 35,530.38/x
  3. Step 3: Cross multiply
    142,146.95x = 213,219.57 × 35,530.38
  4. Step 4: Simplify right side
    142,146.95x = 7,575,771,101.79
  5. Step 5: Solve for x
    x = 7,575,771,101.79/142,146.95
  6. Step 6: Final answer
    x = 53,295.35

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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.