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Finding the Fourth Proportional to 190,101.94, 262,348.95 and 105,218.98

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Solution

The fourth proportional to 190,101.94, 262,348.95 and 105,218.98 is: 145,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,101.94 : 262,348.95 = 105,218.98 : x
  2. Step 2: Convert to fraction form
    190,101.94/262,348.95 = 105,218.98/x
  3. Step 3: Cross multiply
    190,101.94x = 262,348.95 × 105,218.98
  4. Step 4: Simplify right side
    190,101.94x = 27,604,088,923.07
  5. Step 5: Solve for x
    x = 27,604,088,923.07/190,101.94
  6. Step 6: Final answer
    x = 145,206.77

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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.