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Finding the Fourth Proportional to 202,202.79, 303,343.05 and 77,534.07

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Solution

The fourth proportional to 202,202.79, 303,343.05 and 77,534.07 is: 116,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,202.79 : 303,343.05 = 77,534.07 : x
  2. Step 2: Convert to fraction form
    202,202.79/303,343.05 = 77,534.07/x
  3. Step 3: Cross multiply
    202,202.79x = 303,343.05 × 77,534.07
  4. Step 4: Simplify right side
    202,202.79x = 23,519,421,272.71
  5. Step 5: Solve for x
    x = 23,519,421,272.71/202,202.79
  6. Step 6: Final answer
    x = 116,316.01

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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.