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Finding the Fourth Proportional to 202,397.10, 303,595.65 and 97,421.10

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Solution

The fourth proportional to 202,397.10, 303,595.65 and 97,421.10 is: 146,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,397.10 : 303,595.65 = 97,421.10 : x
  2. Step 2: Convert to fraction form
    202,397.10/303,595.65 = 97,421.10/x
  3. Step 3: Cross multiply
    202,397.10x = 303,595.65 × 97,421.10
  4. Step 4: Simplify right side
    202,397.10x = 29,576,622,178.22
  5. Step 5: Solve for x
    x = 29,576,622,178.22/202,397.10
  6. Step 6: Final answer
    x = 146,131.65

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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.