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Finding the Fourth Proportional to 216,347, 298,364.91 and 180,168.26

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Solution

The fourth proportional to 216,347, 298,364.91 and 180,168.26 is: 248,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,347 : 298,364.91 = 180,168.26 : x
  2. Step 2: Convert to fraction form
    216,347/298,364.91 = 180,168.26/x
  3. Step 3: Cross multiply
    216,347x = 298,364.91 × 180,168.26
  4. Step 4: Simplify right side
    216,347x = 53,755,886,679.76
  5. Step 5: Solve for x
    x = 53,755,886,679.76/216,347
  6. Step 6: Final answer
    x = 248,470.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.