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Finding the Fourth Proportional to 212,145.90, 292,768.86 and 116,659.86

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Solution

The fourth proportional to 212,145.90, 292,768.86 and 116,659.86 is: 160,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,145.90 : 292,768.86 = 116,659.86 : x
  2. Step 2: Convert to fraction form
    212,145.90/292,768.86 = 116,659.86/x
  3. Step 3: Cross multiply
    212,145.90x = 292,768.86 × 116,659.86
  4. Step 4: Simplify right side
    212,145.90x = 34,154,374,219.96
  5. Step 5: Solve for x
    x = 34,154,374,219.96/212,145.90
  6. Step 6: Final answer
    x = 160,994.74

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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.