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Finding the Fourth Proportional to 288,045.20, 432,067.80 and 176,070.80

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Solution

The fourth proportional to 288,045.20, 432,067.80 and 176,070.80 is: 264,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,045.20 : 432,067.80 = 176,070.80 : x
  2. Step 2: Convert to fraction form
    288,045.20/432,067.80 = 176,070.80/x
  3. Step 3: Cross multiply
    288,045.20x = 432,067.80 × 176,070.80
  4. Step 4: Simplify right side
    288,045.20x = 76,074,523,200.24
  5. Step 5: Solve for x
    x = 76,074,523,200.24/288,045.20
  6. Step 6: Final answer
    x = 264,106.20

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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.