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Finding the Fourth Proportional to 202,153.40, 302,970.90 and 96,745.40

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Solution

The fourth proportional to 202,153.40, 302,970.90 and 96,745.40 is: 144,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,153.40 : 302,970.90 = 96,745.40 : x
  2. Step 2: Convert to fraction form
    202,153.40/302,970.90 = 96,745.40/x
  3. Step 3: Cross multiply
    202,153.40x = 302,970.90 × 96,745.40
  4. Step 4: Simplify right side
    202,153.40x = 29,311,040,908.86
  5. Step 5: Solve for x
    x = 29,311,040,908.86/202,153.40
  6. Step 6: Final answer
    x = 144,994.05

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1.5x scale

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.