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Finding the Fourth Proportional to 188,462.79, 282,735.84 and 62,097.93

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Solution

The fourth proportional to 188,462.79, 282,735.84 and 62,097.93 is: 93,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,462.79 : 282,735.84 = 62,097.93 : x
  2. Step 2: Convert to fraction form
    188,462.79/282,735.84 = 62,097.93/x
  3. Step 3: Cross multiply
    188,462.79x = 282,735.84 × 62,097.93
  4. Step 4: Simplify right side
    188,462.79x = 17,557,310,400.81
  5. Step 5: Solve for x
    x = 17,557,310,400.81/188,462.79
  6. Step 6: Final answer
    x = 93,160.62

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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.