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Finding the Fourth Proportional to 292,193.74, 438,560.03 and 148,200.63

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Solution

The fourth proportional to 292,193.74, 438,560.03 and 148,200.63 is: 222,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,193.74 : 438,560.03 = 148,200.63 : x
  2. Step 2: Convert to fraction form
    292,193.74/438,560.03 = 148,200.63/x
  3. Step 3: Cross multiply
    292,193.74x = 438,560.03 × 148,200.63
  4. Step 4: Simplify right side
    292,193.74x = 64,994,872,738.82
  5. Step 5: Solve for x
    x = 64,994,872,738.82/292,193.74
  6. Step 6: Final answer
    x = 222,437.59

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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.