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Finding the Fourth Proportional to 106,232.94, 146,598.60 and 58,486.64

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Solution

The fourth proportional to 106,232.94, 146,598.60 and 58,486.64 is: 80,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,232.94 : 146,598.60 = 58,486.64 : x
  2. Step 2: Convert to fraction form
    106,232.94/146,598.60 = 58,486.64/x
  3. Step 3: Cross multiply
    106,232.94x = 146,598.60 × 58,486.64
  4. Step 4: Simplify right side
    106,232.94x = 8,574,058,809.71
  5. Step 5: Solve for x
    x = 8,574,058,809.71/106,232.94
  6. Step 6: Final answer
    x = 80,709.98

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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.