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Finding the Fourth Proportional to 212,076.32, 292,657.88 and 116,582.32

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Solution

The fourth proportional to 212,076.32, 292,657.88 and 116,582.32 is: 160,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,076.32 : 292,657.88 = 116,582.32 : x
  2. Step 2: Convert to fraction form
    212,076.32/292,657.88 = 116,582.32/x
  3. Step 3: Cross multiply
    212,076.32x = 292,657.88 × 116,582.32
  4. Step 4: Simplify right side
    212,076.32x = 34,118,734,616.68
  5. Step 5: Solve for x
    x = 34,118,734,616.68/212,076.32
  6. Step 6: Final answer
    x = 160,879.51

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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.