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Finding the Fourth Proportional to 228,018.57, 342,101.63 and 109,674.46

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Solution

The fourth proportional to 228,018.57, 342,101.63 and 109,674.46 is: 164,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,018.57 : 342,101.63 = 109,674.46 : x
  2. Step 2: Convert to fraction form
    228,018.57/342,101.63 = 109,674.46/x
  3. Step 3: Cross multiply
    228,018.57x = 342,101.63 × 109,674.46
  4. Step 4: Simplify right side
    228,018.57x = 37,519,811,535.37
  5. Step 5: Solve for x
    x = 37,519,811,535.37/228,018.57
  6. Step 6: Final answer
    x = 164,547.17

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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.