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Finding the Fourth Proportional to 202,709.23, 304,113.32 and 142,854.41

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Solution

The fourth proportional to 202,709.23, 304,113.32 and 142,854.41 is: 214,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,709.23 : 304,113.32 = 142,854.41 : x
  2. Step 2: Convert to fraction form
    202,709.23/304,113.32 = 142,854.41/x
  3. Step 3: Cross multiply
    202,709.23x = 304,113.32 × 142,854.41
  4. Step 4: Simplify right side
    202,709.23x = 43,443,928,901.74
  5. Step 5: Solve for x
    x = 43,443,928,901.74/202,709.23
  6. Step 6: Final answer
    x = 214,316.48

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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.