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Finding the Fourth Proportional to 154,039, 212,573.84 and 83,383

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Solution

The fourth proportional to 154,039, 212,573.84 and 83,383 is: 115,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,039 : 212,573.84 = 83,383 : x
  2. Step 2: Convert to fraction form
    154,039/212,573.84 = 83,383/x
  3. Step 3: Cross multiply
    154,039x = 212,573.84 × 83,383
  4. Step 4: Simplify right side
    154,039x = 17,725,044,500.72
  5. Step 5: Solve for x
    x = 17,725,044,500.72/154,039
  6. Step 6: Final answer
    x = 115,068.55

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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.