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Finding the Fourth Proportional to 154,144, 212,718.72 and 83,488

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Solution

The fourth proportional to 154,144, 212,718.72 and 83,488 is: 115,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,144 : 212,718.72 = 83,488 : x
  2. Step 2: Convert to fraction form
    154,144/212,718.72 = 83,488/x
  3. Step 3: Cross multiply
    154,144x = 212,718.72 × 83,488
  4. Step 4: Simplify right side
    154,144x = 17,759,460,495.36
  5. Step 5: Solve for x
    x = 17,759,460,495.36/154,144
  6. Step 6: Final answer
    x = 115,213.44

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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.