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Finding the Fourth Proportional to 256,624.90, 354,128.16 and 141,896.86

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Solution

The fourth proportional to 256,624.90, 354,128.16 and 141,896.86 is: 195,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,624.90 : 354,128.16 = 141,896.86 : x
  2. Step 2: Convert to fraction form
    256,624.90/354,128.16 = 141,896.86/x
  3. Step 3: Cross multiply
    256,624.90x = 354,128.16 × 141,896.86
  4. Step 4: Simplify right side
    256,624.90x = 50,249,673,941.58
  5. Step 5: Solve for x
    x = 50,249,673,941.58/256,624.90
  6. Step 6: Final answer
    x = 195,809.81

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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.