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Finding the Fourth Proportional to 105,970.88, 146,239.80 and 58,222.64

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Solution

The fourth proportional to 105,970.88, 146,239.80 and 58,222.64 is: 80,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,970.88 : 146,239.80 = 58,222.64 : x
  2. Step 2: Convert to fraction form
    105,970.88/146,239.80 = 58,222.64/x
  3. Step 3: Cross multiply
    105,970.88x = 146,239.80 × 58,222.64
  4. Step 4: Simplify right side
    105,970.88x = 8,514,467,229.07
  5. Step 5: Solve for x
    x = 8,514,467,229.07/105,970.88
  6. Step 6: Final answer
    x = 80,347.24

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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.