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Finding the Fourth Proportional to 202,085.42, 302,930.08 and 172,167.26

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Solution

The fourth proportional to 202,085.42, 302,930.08 and 172,167.26 is: 258,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,085.42 : 302,930.08 = 172,167.26 : x
  2. Step 2: Convert to fraction form
    202,085.42/302,930.08 = 172,167.26/x
  3. Step 3: Cross multiply
    202,085.42x = 302,930.08 × 172,167.26
  4. Step 4: Simplify right side
    202,085.42x = 52,154,639,900.11
  5. Step 5: Solve for x
    x = 52,154,639,900.11/202,085.42
  6. Step 6: Final answer
    x = 258,082.16

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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.