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Finding the Fourth Proportional to 202,353.40, 303,530.10 and 97,118.20

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Solution

The fourth proportional to 202,353.40, 303,530.10 and 97,118.20 is: 145,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,353.40 : 303,530.10 = 97,118.20 : x
  2. Step 2: Convert to fraction form
    202,353.40/303,530.10 = 97,118.20/x
  3. Step 3: Cross multiply
    202,353.40x = 303,530.10 × 97,118.20
  4. Step 4: Simplify right side
    202,353.40x = 29,478,296,957.82
  5. Step 5: Solve for x
    x = 29,478,296,957.82/202,353.40
  6. Step 6: Final answer
    x = 145,677.30

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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.