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Finding the Fourth Proportional to 261,125, 360,367.08 and 147,984.20

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Solution

The fourth proportional to 261,125, 360,367.08 and 147,984.20 is: 204,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,125 : 360,367.08 = 147,984.20 : x
  2. Step 2: Convert to fraction form
    261,125/360,367.08 = 147,984.20/x
  3. Step 3: Cross multiply
    261,125x = 360,367.08 × 147,984.20
  4. Step 4: Simplify right side
    261,125x = 53,328,634,040.14
  5. Step 5: Solve for x
    x = 53,328,634,040.14/261,125
  6. Step 6: Final answer
    x = 204,226.46

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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.