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Finding the Fourth Proportional to 106,364.98, 146,783.70 and 57,966.93

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Solution

The fourth proportional to 106,364.98, 146,783.70 and 57,966.93 is: 79,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,364.98 : 146,783.70 = 57,966.93 : x
  2. Step 2: Convert to fraction form
    106,364.98/146,783.70 = 57,966.93/x
  3. Step 3: Cross multiply
    106,364.98x = 146,783.70 × 57,966.93
  4. Step 4: Simplify right side
    106,364.98x = 8,508,600,463.04
  5. Step 5: Solve for x
    x = 8,508,600,463.04/106,364.98
  6. Step 6: Final answer
    x = 79,994.38

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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.