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Finding the Fourth Proportional to 299,038.30, 412,672.93 and 163,068.75

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Solution

The fourth proportional to 299,038.30, 412,672.93 and 163,068.75 is: 225,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,038.30 : 412,672.93 = 163,068.75 : x
  2. Step 2: Convert to fraction form
    299,038.30/412,672.93 = 163,068.75/x
  3. Step 3: Cross multiply
    299,038.30x = 412,672.93 × 163,068.75
  4. Step 4: Simplify right side
    299,038.30x = 67,294,058,853.94
  5. Step 5: Solve for x
    x = 67,294,058,853.94/299,038.30
  6. Step 6: Final answer
    x = 225,034.92

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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.