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Finding the Fourth Proportional to 203,205.53, 304,697.19 and 161,354.45

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Solution

The fourth proportional to 203,205.53, 304,697.19 and 161,354.45 is: 241,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,205.53 : 304,697.19 = 161,354.45 : x
  2. Step 2: Convert to fraction form
    203,205.53/304,697.19 = 161,354.45/x
  3. Step 3: Cross multiply
    203,205.53x = 304,697.19 × 161,354.45
  4. Step 4: Simplify right side
    203,205.53x = 49,164,248,875.82
  5. Step 5: Solve for x
    x = 49,164,248,875.82/203,205.53
  6. Step 6: Final answer
    x = 241,943.46

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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.