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Finding the Fourth Proportional to 105,999.90, 158,901.03 and 35,830.14

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Solution

The fourth proportional to 105,999.90, 158,901.03 and 35,830.14 is: 53,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,999.90 : 158,901.03 = 35,830.14 : x
  2. Step 2: Convert to fraction form
    105,999.90/158,901.03 = 35,830.14/x
  3. Step 3: Cross multiply
    105,999.90x = 158,901.03 × 35,830.14
  4. Step 4: Simplify right side
    105,999.90x = 5,693,446,151.04
  5. Step 5: Solve for x
    x = 5,693,446,151.04/105,999.90
  6. Step 6: Final answer
    x = 53,711.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.