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Finding the Fourth Proportional to 157,283.72, 235,759.41 and 112,886.41

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Solution

The fourth proportional to 157,283.72, 235,759.41 and 112,886.41 is: 169,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,283.72 : 235,759.41 = 112,886.41 : x
  2. Step 2: Convert to fraction form
    157,283.72/235,759.41 = 112,886.41/x
  3. Step 3: Cross multiply
    157,283.72x = 235,759.41 × 112,886.41
  4. Step 4: Simplify right side
    157,283.72x = 26,614,033,418.62
  5. Step 5: Solve for x
    x = 26,614,033,418.62/157,283.72
  6. Step 6: Final answer
    x = 169,210.35

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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.