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Finding the Fourth Proportional to 256,085.84, 353,441.60 and 148,745.72

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Solution

The fourth proportional to 256,085.84, 353,441.60 and 148,745.72 is: 205,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,085.84 : 353,441.60 = 148,745.72 : x
  2. Step 2: Convert to fraction form
    256,085.84/353,441.60 = 148,745.72/x
  3. Step 3: Cross multiply
    256,085.84x = 353,441.60 × 148,745.72
  4. Step 4: Simplify right side
    256,085.84x = 52,572,922,759.02
  5. Step 5: Solve for x
    x = 52,572,922,759.02/256,085.84
  6. Step 6: Final answer
    x = 205,294.15

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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.