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Finding the Fourth Proportional to 219,870.90, 329,806.35 and 164,102.40

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Solution

The fourth proportional to 219,870.90, 329,806.35 and 164,102.40 is: 246,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,870.90 : 329,806.35 = 164,102.40 : x
  2. Step 2: Convert to fraction form
    219,870.90/329,806.35 = 164,102.40/x
  3. Step 3: Cross multiply
    219,870.90x = 329,806.35 × 164,102.40
  4. Step 4: Simplify right side
    219,870.90x = 54,122,013,570.24
  5. Step 5: Solve for x
    x = 54,122,013,570.24/219,870.90
  6. Step 6: Final answer
    x = 246,153.60

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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.