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Finding the Fourth Proportional to 106,146.70, 146,482.71 and 58,403.02

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Solution

The fourth proportional to 106,146.70, 146,482.71 and 58,403.02 is: 80,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,146.70 : 146,482.71 = 58,403.02 : x
  2. Step 2: Convert to fraction form
    106,146.70/146,482.71 = 58,403.02/x
  3. Step 3: Cross multiply
    106,146.70x = 146,482.71 × 58,403.02
  4. Step 4: Simplify right side
    106,146.70x = 8,555,032,641.78
  5. Step 5: Solve for x
    x = 8,555,032,641.78/106,146.70
  6. Step 6: Final answer
    x = 80,596.31

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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.