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Finding the Fourth Proportional to 215,894.64, 297,927.30 and 119,102.34

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Solution

The fourth proportional to 215,894.64, 297,927.30 and 119,102.34 is: 164,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,894.64 : 297,927.30 = 119,102.34 : x
  2. Step 2: Convert to fraction form
    215,894.64/297,927.30 = 119,102.34/x
  3. Step 3: Cross multiply
    215,894.64x = 297,927.30 × 119,102.34
  4. Step 4: Simplify right side
    215,894.64x = 35,483,838,579.88
  5. Step 5: Solve for x
    x = 35,483,838,579.88/215,894.64
  6. Step 6: Final answer
    x = 164,357.20

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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.