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Finding the Fourth Proportional to 312,178.06, 430,806.80 and 168,938.06

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Solution

The fourth proportional to 312,178.06, 430,806.80 and 168,938.06 is: 233,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,178.06 : 430,806.80 = 168,938.06 : x
  2. Step 2: Convert to fraction form
    312,178.06/430,806.80 = 168,938.06/x
  3. Step 3: Cross multiply
    312,178.06x = 430,806.80 × 168,938.06
  4. Step 4: Simplify right side
    312,178.06x = 72,779,665,259.13
  5. Step 5: Solve for x
    x = 72,779,665,259.13/312,178.06
  6. Step 6: Final answer
    x = 233,135.11

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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.