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Finding the Fourth Proportional to 202,080.02, 301,486.76 and 181,903.12

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Solution

The fourth proportional to 202,080.02, 301,486.76 and 181,903.12 is: 271,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,080.02 : 301,486.76 = 181,903.12 : x
  2. Step 2: Convert to fraction form
    202,080.02/301,486.76 = 181,903.12/x
  3. Step 3: Cross multiply
    202,080.02x = 301,486.76 × 181,903.12
  4. Step 4: Simplify right side
    202,080.02x = 54,841,381,301.60
  5. Step 5: Solve for x
    x = 54,841,381,301.60/202,080.02
  6. Step 6: Final answer
    x = 271,384.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.