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Finding the Fourth Proportional to 202,221.09, 303,396.39 and 97,047.45

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Solution

The fourth proportional to 202,221.09, 303,396.39 and 97,047.45 is: 145,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,221.09 : 303,396.39 = 97,047.45 : x
  2. Step 2: Convert to fraction form
    202,221.09/303,396.39 = 97,047.45/x
  3. Step 3: Cross multiply
    202,221.09x = 303,396.39 × 97,047.45
  4. Step 4: Simplify right side
    202,221.09x = 29,443,845,988.71
  5. Step 5: Solve for x
    x = 29,443,845,988.71/202,221.09
  6. Step 6: Final answer
    x = 145,602.25

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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.