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Finding the Fourth Proportional to 216,068.24, 298,173.72 and 120,569.24

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Solution

The fourth proportional to 216,068.24, 298,173.72 and 120,569.24 is: 166,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,068.24 : 298,173.72 = 120,569.24 : x
  2. Step 2: Convert to fraction form
    216,068.24/298,173.72 = 120,569.24/x
  3. Step 3: Cross multiply
    216,068.24x = 298,173.72 × 120,569.24
  4. Step 4: Simplify right side
    216,068.24x = 35,950,578,808.37
  5. Step 5: Solve for x
    x = 35,950,578,808.37/216,068.24
  6. Step 6: Final answer
    x = 166,385.30

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1.5x scale

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.