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Finding the Fourth Proportional to 106,419.42, 146,859.90 and 58,674.48

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Solution

The fourth proportional to 106,419.42, 146,859.90 and 58,674.48 is: 80,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,419.42 : 146,859.90 = 58,674.48 : x
  2. Step 2: Convert to fraction form
    106,419.42/146,859.90 = 58,674.48/x
  3. Step 3: Cross multiply
    106,419.42x = 146,859.90 × 58,674.48
  4. Step 4: Simplify right side
    106,419.42x = 8,616,927,577.11
  5. Step 5: Solve for x
    x = 8,616,927,577.11/106,419.42
  6. Step 6: Final answer
    x = 80,971.38

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1.5x scale

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.