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Finding the Fourth Proportional to 202,296.40, 303,444.60 and 97,061.20

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Solution

The fourth proportional to 202,296.40, 303,444.60 and 97,061.20 is: 145,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,296.40 : 303,444.60 = 97,061.20 : x
  2. Step 2: Convert to fraction form
    202,296.40/303,444.60 = 97,061.20/x
  3. Step 3: Cross multiply
    202,296.40x = 303,444.60 × 97,061.20
  4. Step 4: Simplify right side
    202,296.40x = 29,452,697,009.52
  5. Step 5: Solve for x
    x = 29,452,697,009.52/202,296.40
  6. Step 6: Final answer
    x = 145,591.80

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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.