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Finding the Fourth Proportional to 202,030.57, 302,980.24 and 95,398.03

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Solution

The fourth proportional to 202,030.57, 302,980.24 and 95,398.03 is: 143,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,030.57 : 302,980.24 = 95,398.03 : x
  2. Step 2: Convert to fraction form
    202,030.57/302,980.24 = 95,398.03/x
  3. Step 3: Cross multiply
    202,030.57x = 302,980.24 × 95,398.03
  4. Step 4: Simplify right side
    202,030.57x = 28,903,718,024.93
  5. Step 5: Solve for x
    x = 28,903,718,024.93/202,030.57
  6. Step 6: Final answer
    x = 143,066.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.