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Finding the Fourth Proportional to 256,299.50, 353,678.66 and 153,050.21

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Solution

The fourth proportional to 256,299.50, 353,678.66 and 153,050.21 is: 211,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,299.50 : 353,678.66 = 153,050.21 : x
  2. Step 2: Convert to fraction form
    256,299.50/353,678.66 = 153,050.21/x
  3. Step 3: Cross multiply
    256,299.50x = 353,678.66 × 153,050.21
  4. Step 4: Simplify right side
    256,299.50x = 54,130,590,651.87
  5. Step 5: Solve for x
    x = 54,130,590,651.87/256,299.50
  6. Step 6: Final answer
    x = 211,200.54

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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.