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Finding the Fourth Proportional to 216,647.84, 298,968.40 and 119,855.27

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Solution

The fourth proportional to 216,647.84, 298,968.40 and 119,855.27 is: 165,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,647.84 : 298,968.40 = 119,855.27 : x
  2. Step 2: Convert to fraction form
    216,647.84/298,968.40 = 119,855.27/x
  3. Step 3: Cross multiply
    216,647.84x = 298,968.40 × 119,855.27
  4. Step 4: Simplify right side
    216,647.84x = 35,832,938,303.47
  5. Step 5: Solve for x
    x = 35,832,938,303.47/216,647.84
  6. Step 6: Final answer
    x = 165,397.16

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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.