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Finding the Fourth Proportional to 190,405.74, 285,779.93 and 101,735.04

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Solution

The fourth proportional to 190,405.74, 285,779.93 and 101,735.04 is: 152,694.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,405.74 : 285,779.93 = 101,735.04 : x
  2. Step 2: Convert to fraction form
    190,405.74/285,779.93 = 101,735.04/x
  3. Step 3: Cross multiply
    190,405.74x = 285,779.93 × 101,735.04
  4. Step 4: Simplify right side
    190,405.74x = 29,073,832,101.07
  5. Step 5: Solve for x
    x = 29,073,832,101.07/190,405.74
  6. Step 6: Final answer
    x = 152,694.09

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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.