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Finding the Fourth Proportional to 216,468.84, 298,725.12 and 120,973.08

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Solution

The fourth proportional to 216,468.84, 298,725.12 and 120,973.08 is: 166,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,468.84 : 298,725.12 = 120,973.08 : x
  2. Step 2: Convert to fraction form
    216,468.84/298,725.12 = 120,973.08/x
  3. Step 3: Cross multiply
    216,468.84x = 298,725.12 × 120,973.08
  4. Step 4: Simplify right side
    216,468.84x = 36,137,697,839.77
  5. Step 5: Solve for x
    x = 36,137,697,839.77/216,468.84
  6. Step 6: Final answer
    x = 166,941.80

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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.