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Finding the Fourth Proportional to 602,142.32, 903,213.50 and 202,749.66

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Solution

The fourth proportional to 602,142.32, 903,213.50 and 202,749.66 is: 304,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,142.32 : 903,213.50 = 202,749.66 : x
  2. Step 2: Convert to fraction form
    602,142.32/903,213.50 = 202,749.66/x
  3. Step 3: Cross multiply
    602,142.32x = 903,213.50 × 202,749.66
  4. Step 4: Simplify right side
    602,142.32x = 183,126,229,018.66
  5. Step 5: Solve for x
    x = 183,126,229,018.66/602,142.32
  6. Step 6: Final answer
    x = 304,124.49

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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.