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Finding the Fourth Proportional to 201,859.38, 278,573.24 and 125,420.63

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Solution

The fourth proportional to 201,859.38, 278,573.24 and 125,420.63 is: 173,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,859.38 : 278,573.24 = 125,420.63 : x
  2. Step 2: Convert to fraction form
    201,859.38/278,573.24 = 125,420.63/x
  3. Step 3: Cross multiply
    201,859.38x = 278,573.24 × 125,420.63
  4. Step 4: Simplify right side
    201,859.38x = 34,938,830,182.63
  5. Step 5: Solve for x
    x = 34,938,830,182.63/201,859.38
  6. Step 6: Final answer
    x = 173,085.00

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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.