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Finding the Fourth Proportional to 255,921.69, 353,173.16 and 141,200.33

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Solution

The fourth proportional to 255,921.69, 353,173.16 and 141,200.33 is: 194,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,921.69 : 353,173.16 = 141,200.33 : x
  2. Step 2: Convert to fraction form
    255,921.69/353,173.16 = 141,200.33/x
  3. Step 3: Cross multiply
    255,921.69x = 353,173.16 × 141,200.33
  4. Step 4: Simplify right side
    255,921.69x = 49,868,167,312.88
  5. Step 5: Solve for x
    x = 49,868,167,312.88/255,921.69
  6. Step 6: Final answer
    x = 194,857.13

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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.