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Finding the Fourth Proportional to 256,681.90, 354,203.04 and 149,244.31

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Solution

The fourth proportional to 256,681.90, 354,203.04 and 149,244.31 is: 205,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,681.90 : 354,203.04 = 149,244.31 : x
  2. Step 2: Convert to fraction form
    256,681.90/354,203.04 = 149,244.31/x
  3. Step 3: Cross multiply
    256,681.90x = 354,203.04 × 149,244.31
  4. Step 4: Simplify right side
    256,681.90x = 52,862,788,304.70
  5. Step 5: Solve for x
    x = 52,862,788,304.70/256,681.90
  6. Step 6: Final answer
    x = 205,946.69

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1.5x scale

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.