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Finding the Fourth Proportional to 202,802.32, 279,876.36 and 113,378.32

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Solution

The fourth proportional to 202,802.32, 279,876.36 and 113,378.32 is: 156,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,802.32 : 279,876.36 = 113,378.32 : x
  2. Step 2: Convert to fraction form
    202,802.32/279,876.36 = 113,378.32/x
  3. Step 3: Cross multiply
    202,802.32x = 279,876.36 × 113,378.32
  4. Step 4: Simplify right side
    202,802.32x = 31,731,911,504.52
  5. Step 5: Solve for x
    x = 31,731,911,504.52/202,802.32
  6. Step 6: Final answer
    x = 156,467.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.