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Finding the Fourth Proportional to 125,100, 172,638 and 68,513.40

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Solution

The fourth proportional to 125,100, 172,638 and 68,513.40 is: 94,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,100 : 172,638 = 68,513.40 : x
  2. Step 2: Convert to fraction form
    125,100/172,638 = 68,513.40/x
  3. Step 3: Cross multiply
    125,100x = 172,638 × 68,513.40
  4. Step 4: Simplify right side
    125,100x = 11,828,016,349.20
  5. Step 5: Solve for x
    x = 11,828,016,349.20/125,100
  6. Step 6: Final answer
    x = 94,548.49

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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.