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Finding the Fourth Proportional to 257,410.65, 355,016.08 and 181,182.09

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Solution

The fourth proportional to 257,410.65, 355,016.08 and 181,182.09 is: 249,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,410.65 : 355,016.08 = 181,182.09 : x
  2. Step 2: Convert to fraction form
    257,410.65/355,016.08 = 181,182.09/x
  3. Step 3: Cross multiply
    257,410.65x = 355,016.08 × 181,182.09
  4. Step 4: Simplify right side
    257,410.65x = 64,322,556,915.80
  5. Step 5: Solve for x
    x = 64,322,556,915.80/257,410.65
  6. Step 6: Final answer
    x = 249,883.04

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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.