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Finding the Fourth Proportional to 346,018.84, 519,103.49 and 106,133.69

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Solution

The fourth proportional to 346,018.84, 519,103.49 and 106,133.69 is: 159,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,018.84 : 519,103.49 = 106,133.69 : x
  2. Step 2: Convert to fraction form
    346,018.84/519,103.49 = 106,133.69/x
  3. Step 3: Cross multiply
    346,018.84x = 519,103.49 × 106,133.69
  4. Step 4: Simplify right side
    346,018.84x = 55,094,369,652.67
  5. Step 5: Solve for x
    x = 55,094,369,652.67/346,018.84
  6. Step 6: Final answer
    x = 159,223.61

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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.