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Finding the Fourth Proportional to 243,914.29, 365,780.50 and 83,945.53

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Solution

The fourth proportional to 243,914.29, 365,780.50 and 83,945.53 is: 125,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,914.29 : 365,780.50 = 83,945.53 : x
  2. Step 2: Convert to fraction form
    243,914.29/365,780.50 = 83,945.53/x
  3. Step 3: Cross multiply
    243,914.29x = 365,780.50 × 83,945.53
  4. Step 4: Simplify right side
    243,914.29x = 30,705,637,936.17
  5. Step 5: Solve for x
    x = 30,705,637,936.17/243,914.29
  6. Step 6: Final answer
    x = 125,887.00

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