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Finding the Fourth Proportional to 277,785.38, 383,323.93 and 163,068.68

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Solution

The fourth proportional to 277,785.38, 383,323.93 and 163,068.68 is: 225,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,785.38 : 383,323.93 = 163,068.68 : x
  2. Step 2: Convert to fraction form
    277,785.38/383,323.93 = 163,068.68/x
  3. Step 3: Cross multiply
    277,785.38x = 383,323.93 × 163,068.68
  4. Step 4: Simplify right side
    277,785.38x = 62,508,127,828.15
  5. Step 5: Solve for x
    x = 62,508,127,828.15/277,785.38
  6. Step 6: Final answer
    x = 225,023.10

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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.