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Finding the Fourth Proportional to 256,124.86, 353,123.75 and 210,014.62

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Solution

The fourth proportional to 256,124.86, 353,123.75 and 210,014.62 is: 289,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,124.86 : 353,123.75 = 210,014.62 : x
  2. Step 2: Convert to fraction form
    256,124.86/353,123.75 = 210,014.62/x
  3. Step 3: Cross multiply
    256,124.86x = 353,123.75 × 210,014.62
  4. Step 4: Simplify right side
    256,124.86x = 74,161,150,169.23
  5. Step 5: Solve for x
    x = 74,161,150,169.23/256,124.86
  6. Step 6: Final answer
    x = 289,550.77

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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.