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Finding the Fourth Proportional to 270,643.46, 373,485.22 and 149,784.98

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Solution

The fourth proportional to 270,643.46, 373,485.22 and 149,784.98 is: 206,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,643.46 : 373,485.22 = 149,784.98 : x
  2. Step 2: Convert to fraction form
    270,643.46/373,485.22 = 149,784.98/x
  3. Step 3: Cross multiply
    270,643.46x = 373,485.22 × 149,784.98
  4. Step 4: Simplify right side
    270,643.46x = 55,942,473,966.11
  5. Step 5: Solve for x
    x = 55,942,473,966.11/270,643.46
  6. Step 6: Final answer
    x = 206,701.74

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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.