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Finding the Fourth Proportional to 277,527.86, 382,989.58 and 150,203.42

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Solution

The fourth proportional to 277,527.86, 382,989.58 and 150,203.42 is: 207,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,527.86 : 382,989.58 = 150,203.42 : x
  2. Step 2: Convert to fraction form
    277,527.86/382,989.58 = 150,203.42/x
  3. Step 3: Cross multiply
    277,527.86x = 382,989.58 × 150,203.42
  4. Step 4: Simplify right side
    277,527.86x = 57,526,344,740.36
  5. Step 5: Solve for x
    x = 57,526,344,740.36/277,527.86
  6. Step 6: Final answer
    x = 207,281.33

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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.