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Finding the Fourth Proportional to 105,897.36, 146,164.80 and 65,586.96

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Solution

The fourth proportional to 105,897.36, 146,164.80 and 65,586.96 is: 90,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,897.36 : 146,164.80 = 65,586.96 : x
  2. Step 2: Convert to fraction form
    105,897.36/146,164.80 = 65,586.96/x
  3. Step 3: Cross multiply
    105,897.36x = 146,164.80 × 65,586.96
  4. Step 4: Simplify right side
    105,897.36x = 9,586,504,891.01
  5. Step 5: Solve for x
    x = 9,586,504,891.01/105,897.36
  6. Step 6: Final answer
    x = 90,526.38

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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.