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Finding the Fourth Proportional to 277,802.76, 383,358.81 and 155,291.88

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Solution

The fourth proportional to 277,802.76, 383,358.81 and 155,291.88 is: 214,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,802.76 : 383,358.81 = 155,291.88 : x
  2. Step 2: Convert to fraction form
    277,802.76/383,358.81 = 155,291.88/x
  3. Step 3: Cross multiply
    277,802.76x = 383,358.81 × 155,291.88
  4. Step 4: Simplify right side
    277,802.76x = 59,532,509,543.00
  5. Step 5: Solve for x
    x = 59,532,509,543.00/277,802.76
  6. Step 6: Final answer
    x = 214,297.76

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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.