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Finding the Fourth Proportional to 256,206.65, 353,669.39 and 165,570.08

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Solution

The fourth proportional to 256,206.65, 353,669.39 and 165,570.08 is: 228,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,206.65 : 353,669.39 = 165,570.08 : x
  2. Step 2: Convert to fraction form
    256,206.65/353,669.39 = 165,570.08/x
  3. Step 3: Cross multiply
    256,206.65x = 353,669.39 × 165,570.08
  4. Step 4: Simplify right side
    256,206.65x = 58,557,066,599.65
  5. Step 5: Solve for x
    x = 58,557,066,599.65/256,206.65
  6. Step 6: Final answer
    x = 228,554.05

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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.