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Finding the Fourth Proportional to 216,830.80, 326,023.80 and 182,616.40

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Solution

The fourth proportional to 216,830.80, 326,023.80 and 182,616.40 is: 274,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,830.80 : 326,023.80 = 182,616.40 : x
  2. Step 2: Convert to fraction form
    216,830.80/326,023.80 = 182,616.40/x
  3. Step 3: Cross multiply
    216,830.80x = 326,023.80 × 182,616.40
  4. Step 4: Simplify right side
    216,830.80x = 59,537,292,670.32
  5. Step 5: Solve for x
    x = 59,537,292,670.32/216,830.80
  6. Step 6: Final answer
    x = 274,579.50

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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.