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Finding the Fourth Proportional to 288,145.80, 431,667.90 and 154,981.80

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Solution

The fourth proportional to 288,145.80, 431,667.90 and 154,981.80 is: 232,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,145.80 : 431,667.90 = 154,981.80 : x
  2. Step 2: Convert to fraction form
    288,145.80/431,667.90 = 154,981.80/x
  3. Step 3: Cross multiply
    288,145.80x = 431,667.90 × 154,981.80
  4. Step 4: Simplify right side
    288,145.80x = 66,900,668,144.22
  5. Step 5: Solve for x
    x = 66,900,668,144.22/288,145.80
  6. Step 6: Final answer
    x = 232,176.45

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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.