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Finding the Fourth Proportional to 118,898.16, 178,342.92 and 35,790

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Solution

The fourth proportional to 118,898.16, 178,342.92 and 35,790 is: 53,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,898.16 : 178,342.92 = 35,790 : x
  2. Step 2: Convert to fraction form
    118,898.16/178,342.92 = 35,790/x
  3. Step 3: Cross multiply
    118,898.16x = 178,342.92 × 35,790
  4. Step 4: Simplify right side
    118,898.16x = 6,382,893,106.80
  5. Step 5: Solve for x
    x = 6,382,893,106.80/118,898.16
  6. Step 6: Final answer
    x = 53,683.70

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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.