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Finding the Fourth Proportional to 277,800.22, 383,341.57 and 156,952

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Solution

The fourth proportional to 277,800.22, 383,341.57 and 156,952 is: 216,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,800.22 : 383,341.57 = 156,952 : x
  2. Step 2: Convert to fraction form
    277,800.22/383,341.57 = 156,952/x
  3. Step 3: Cross multiply
    277,800.22x = 383,341.57 × 156,952
  4. Step 4: Simplify right side
    277,800.22x = 60,166,226,094.64
  5. Step 5: Solve for x
    x = 60,166,226,094.64/277,800.22
  6. Step 6: Final answer
    x = 216,580.92

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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.