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Finding the Fourth Proportional to 185,514.20, 278,271.30 and 185,514.20

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Solution

The fourth proportional to 185,514.20, 278,271.30 and 185,514.20 is: 278,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,514.20 : 278,271.30 = 185,514.20 : x
  2. Step 2: Convert to fraction form
    185,514.20/278,271.30 = 185,514.20/x
  3. Step 3: Cross multiply
    185,514.20x = 278,271.30 × 185,514.20
  4. Step 4: Simplify right side
    185,514.20x = 51,623,277,602.46
  5. Step 5: Solve for x
    x = 51,623,277,602.46/185,514.20
  6. Step 6: Final answer
    x = 278,271.30

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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.