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Finding the Fourth Proportional to 256,088.96, 353,400.72 and 148,668.96

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Solution

The fourth proportional to 256,088.96, 353,400.72 and 148,668.96 is: 205,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,088.96 : 353,400.72 = 148,668.96 : x
  2. Step 2: Convert to fraction form
    256,088.96/353,400.72 = 148,668.96/x
  3. Step 3: Cross multiply
    256,088.96x = 353,400.72 × 148,668.96
  4. Step 4: Simplify right side
    256,088.96x = 52,539,717,505.65
  5. Step 5: Solve for x
    x = 52,539,717,505.65/256,088.96
  6. Step 6: Final answer
    x = 205,161.98

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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.