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Finding the Fourth Proportional to 154,564.36, 213,768.39 and 138,643

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Solution

The fourth proportional to 154,564.36, 213,768.39 and 138,643 is: 191,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,564.36 : 213,768.39 = 138,643 : x
  2. Step 2: Convert to fraction form
    154,564.36/213,768.39 = 138,643/x
  3. Step 3: Cross multiply
    154,564.36x = 213,768.39 × 138,643
  4. Step 4: Simplify right side
    154,564.36x = 29,637,490,894.77
  5. Step 5: Solve for x
    x = 29,637,490,894.77/154,564.36
  6. Step 6: Final answer
    x = 191,748.54

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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.