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Finding the Fourth Proportional to 267,409.98, 369,030.51 and 146,543.22

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Solution

The fourth proportional to 267,409.98, 369,030.51 and 146,543.22 is: 202,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,409.98 : 369,030.51 = 146,543.22 : x
  2. Step 2: Convert to fraction form
    267,409.98/369,030.51 = 146,543.22/x
  3. Step 3: Cross multiply
    267,409.98x = 369,030.51 × 146,543.22
  4. Step 4: Simplify right side
    267,409.98x = 54,078,919,213.64
  5. Step 5: Solve for x
    x = 54,078,919,213.64/267,409.98
  6. Step 6: Final answer
    x = 202,232.24

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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.