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Finding the Fourth Proportional to 208,437.96, 313,075.44 and 124,362.12

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Solution

The fourth proportional to 208,437.96, 313,075.44 and 124,362.12 is: 186,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,437.96 : 313,075.44 = 124,362.12 : x
  2. Step 2: Convert to fraction form
    208,437.96/313,075.44 = 124,362.12/x
  3. Step 3: Cross multiply
    208,437.96x = 313,075.44 × 124,362.12
  4. Step 4: Simplify right side
    208,437.96x = 38,934,725,438.33
  5. Step 5: Solve for x
    x = 38,934,725,438.33/208,437.96
  6. Step 6: Final answer
    x = 186,792.87

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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.