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Finding the Fourth Proportional to 256,652.90, 354,014.12 and 164,626.54

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Solution

The fourth proportional to 256,652.90, 354,014.12 and 164,626.54 is: 227,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,652.90 : 354,014.12 = 164,626.54 : x
  2. Step 2: Convert to fraction form
    256,652.90/354,014.12 = 164,626.54/x
  3. Step 3: Cross multiply
    256,652.90x = 354,014.12 × 164,626.54
  4. Step 4: Simplify right side
    256,652.90x = 58,280,119,686.74
  5. Step 5: Solve for x
    x = 58,280,119,686.74/256,652.90
  6. Step 6: Final answer
    x = 227,077.58

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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.