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Finding the Fourth Proportional to 209,970.86, 290,036.38 and 155,633.18

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Solution

The fourth proportional to 209,970.86, 290,036.38 and 155,633.18 is: 214,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,970.86 : 290,036.38 = 155,633.18 : x
  2. Step 2: Convert to fraction form
    209,970.86/290,036.38 = 155,633.18/x
  3. Step 3: Cross multiply
    209,970.86x = 290,036.38 × 155,633.18
  4. Step 4: Simplify right side
    209,970.86x = 45,139,284,135.09
  5. Step 5: Solve for x
    x = 45,139,284,135.09/209,970.86
  6. Step 6: Final answer
    x = 214,978.80

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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.