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Finding the Fourth Proportional to 257,649.72, 355,574.82 and 142,965.06

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Solution

The fourth proportional to 257,649.72, 355,574.82 and 142,965.06 is: 197,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,649.72 : 355,574.82 = 142,965.06 : x
  2. Step 2: Convert to fraction form
    257,649.72/355,574.82 = 142,965.06/x
  3. Step 3: Cross multiply
    257,649.72x = 355,574.82 × 142,965.06
  4. Step 4: Simplify right side
    257,649.72x = 50,834,775,475.79
  5. Step 5: Solve for x
    x = 50,834,775,475.79/257,649.72
  6. Step 6: Final answer
    x = 197,301.89

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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.