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Finding the Fourth Proportional to 253,307.58, 349,480.02 and 149,947.26

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Solution

The fourth proportional to 253,307.58, 349,480.02 and 149,947.26 is: 206,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,307.58 : 349,480.02 = 149,947.26 : x
  2. Step 2: Convert to fraction form
    253,307.58/349,480.02 = 149,947.26/x
  3. Step 3: Cross multiply
    253,307.58x = 349,480.02 × 149,947.26
  4. Step 4: Simplify right side
    253,307.58x = 52,403,571,423.75
  5. Step 5: Solve for x
    x = 52,403,571,423.75/253,307.58
  6. Step 6: Final answer
    x = 206,877.23

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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.