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Finding the Fourth Proportional to 149,136.19, 205,773.83 and 84,590.00

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Solution

The fourth proportional to 149,136.19, 205,773.83 and 84,590.00 is: 116,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,136.19 : 205,773.83 = 84,590.00 : x
  2. Step 2: Convert to fraction form
    149,136.19/205,773.83 = 84,590.00/x
  3. Step 3: Cross multiply
    149,136.19x = 205,773.83 × 84,590.00
  4. Step 4: Simplify right side
    149,136.19x = 17,406,409,550.04
  5. Step 5: Solve for x
    x = 17,406,409,550.04/149,136.19
  6. Step 6: Final answer
    x = 116,714.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.