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Finding the Fourth Proportional to 202,298.70, 303,533.10 and 108,695.10

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Solution

The fourth proportional to 202,298.70, 303,533.10 and 108,695.10 is: 163,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.70 : 303,533.10 = 108,695.10 : x
  2. Step 2: Convert to fraction form
    202,298.70/303,533.10 = 108,695.10/x
  3. Step 3: Cross multiply
    202,298.70x = 303,533.10 × 108,695.10
  4. Step 4: Simplify right side
    202,298.70x = 32,992,560,657.81
  5. Step 5: Solve for x
    x = 32,992,560,657.81/202,298.70
  6. Step 6: Final answer
    x = 163,088.35

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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.