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Finding the Fourth Proportional to 256,206.87, 353,538.63 and 148,755.92

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Solution

The fourth proportional to 256,206.87, 353,538.63 and 148,755.92 is: 205,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,206.87 : 353,538.63 = 148,755.92 : x
  2. Step 2: Convert to fraction form
    256,206.87/353,538.63 = 148,755.92/x
  3. Step 3: Cross multiply
    256,206.87x = 353,538.63 × 148,755.92
  4. Step 4: Simplify right side
    256,206.87x = 52,590,962,393.50
  5. Step 5: Solve for x
    x = 52,590,962,393.50/256,206.87
  6. Step 6: Final answer
    x = 205,267.57

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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.