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Finding the Fourth Proportional to 219,881.60, 329,822.40 and 164,585.60

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Solution

The fourth proportional to 219,881.60, 329,822.40 and 164,585.60 is: 246,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,881.60 : 329,822.40 = 164,585.60 : x
  2. Step 2: Convert to fraction form
    219,881.60/329,822.40 = 164,585.60/x
  3. Step 3: Cross multiply
    219,881.60x = 329,822.40 × 164,585.60
  4. Step 4: Simplify right side
    219,881.60x = 54,284,017,597.44
  5. Step 5: Solve for x
    x = 54,284,017,597.44/219,881.60
  6. Step 6: Final answer
    x = 246,878.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.