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Finding the Fourth Proportional to 277,366, 382,762.80 and 150,041.92

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Solution

The fourth proportional to 277,366, 382,762.80 and 150,041.92 is: 207,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,366 : 382,762.80 = 150,041.92 : x
  2. Step 2: Convert to fraction form
    277,366/382,762.80 = 150,041.92/x
  3. Step 3: Cross multiply
    277,366x = 382,762.80 × 150,041.92
  4. Step 4: Simplify right side
    277,366x = 57,430,465,416.58
  5. Step 5: Solve for x
    x = 57,430,465,416.58/277,366
  6. Step 6: Final answer
    x = 207,056.62

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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.