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Finding the Fourth Proportional to 233,764.20, 350,646.30 and 140,452.20

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Solution

The fourth proportional to 233,764.20, 350,646.30 and 140,452.20 is: 210,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,764.20 : 350,646.30 = 140,452.20 : x
  2. Step 2: Convert to fraction form
    233,764.20/350,646.30 = 140,452.20/x
  3. Step 3: Cross multiply
    233,764.20x = 350,646.30 × 140,452.20
  4. Step 4: Simplify right side
    233,764.20x = 49,249,044,256.86
  5. Step 5: Solve for x
    x = 49,249,044,256.86/233,764.20
  6. Step 6: Final answer
    x = 210,678.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.