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Finding the Fourth Proportional to 164,411.97, 246,643.74 and 69,642.42

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Solution

The fourth proportional to 164,411.97, 246,643.74 and 69,642.42 is: 104,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,411.97 : 246,643.74 = 69,642.42 : x
  2. Step 2: Convert to fraction form
    164,411.97/246,643.74 = 69,642.42/x
  3. Step 3: Cross multiply
    164,411.97x = 246,643.74 × 69,642.42
  4. Step 4: Simplify right side
    164,411.97x = 17,176,866,931.45
  5. Step 5: Solve for x
    x = 17,176,866,931.45/164,411.97
  6. Step 6: Final answer
    x = 104,474.56

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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.