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Finding the Fourth Proportional to 216,021.60, 323,465.40 and 152,498.70

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Solution

The fourth proportional to 216,021.60, 323,465.40 and 152,498.70 is: 228,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,021.60 : 323,465.40 = 152,498.70 : x
  2. Step 2: Convert to fraction form
    216,021.60/323,465.40 = 152,498.70/x
  3. Step 3: Cross multiply
    216,021.60x = 323,465.40 × 152,498.70
  4. Step 4: Simplify right side
    216,021.60x = 49,328,052,994.98
  5. Step 5: Solve for x
    x = 49,328,052,994.98/216,021.60
  6. Step 6: Final answer
    x = 228,347.78

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