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Finding the Fourth Proportional to 312,178.31, 430,807.14 and 168,938.31

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Solution

The fourth proportional to 312,178.31, 430,807.14 and 168,938.31 is: 233,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,178.31 : 430,807.14 = 168,938.31 : x
  2. Step 2: Convert to fraction form
    312,178.31/430,807.14 = 168,938.31/x
  3. Step 3: Cross multiply
    312,178.31x = 430,807.14 × 168,938.31
  4. Step 4: Simplify right side
    312,178.31x = 72,779,830,167.53
  5. Step 5: Solve for x
    x = 72,779,830,167.53/312,178.31
  6. Step 6: Final answer
    x = 233,135.45

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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.