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Finding the Fourth Proportional to 202,154.42, 302,985.66 and 143,007.14

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Solution

The fourth proportional to 202,154.42, 302,985.66 and 143,007.14 is: 214,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154.42 : 302,985.66 = 143,007.14 : x
  2. Step 2: Convert to fraction form
    202,154.42/302,985.66 = 143,007.14/x
  3. Step 3: Cross multiply
    202,154.42x = 302,985.66 × 143,007.14
  4. Step 4: Simplify right side
    202,154.42x = 43,329,113,991.35
  5. Step 5: Solve for x
    x = 43,329,113,991.35/202,154.42
  6. Step 6: Final answer
    x = 214,336.71

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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.