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Finding the Fourth Proportional to 153,830.33, 230,769.89 and 65,084.50

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Solution

The fourth proportional to 153,830.33, 230,769.89 and 65,084.50 is: 97,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,830.33 : 230,769.89 = 65,084.50 : x
  2. Step 2: Convert to fraction form
    153,830.33/230,769.89 = 65,084.50/x
  3. Step 3: Cross multiply
    153,830.33x = 230,769.89 × 65,084.50
  4. Step 4: Simplify right side
    153,830.33x = 15,019,542,905.71
  5. Step 5: Solve for x
    x = 15,019,542,905.71/153,830.33
  6. Step 6: Final answer
    x = 97,637.07

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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.