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Finding the Fourth Proportional to 193,060.65, 289,629.54 and 66,705.51

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Solution

The fourth proportional to 193,060.65, 289,629.54 and 66,705.51 is: 100,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,060.65 : 289,629.54 = 66,705.51 : x
  2. Step 2: Convert to fraction form
    193,060.65/289,629.54 = 66,705.51/x
  3. Step 3: Cross multiply
    193,060.65x = 289,629.54 × 66,705.51
  4. Step 4: Simplify right side
    193,060.65x = 19,319,886,176.77
  5. Step 5: Solve for x
    x = 19,319,886,176.77/193,060.65
  6. Step 6: Final answer
    x = 100,071.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.