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Finding the Fourth Proportional to 292,083.50, 403,075.25 and 157,947.50

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Solution

The fourth proportional to 292,083.50, 403,075.25 and 157,947.50 is: 217,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,083.50 : 403,075.25 = 157,947.50 : x
  2. Step 2: Convert to fraction form
    292,083.50/403,075.25 = 157,947.50/x
  3. Step 3: Cross multiply
    292,083.50x = 403,075.25 × 157,947.50
  4. Step 4: Simplify right side
    292,083.50x = 63,664,728,049.38
  5. Step 5: Solve for x
    x = 63,664,728,049.38/292,083.50
  6. Step 6: Final answer
    x = 217,967.56

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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.