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Finding the Fourth Proportional to 98,091.63, 147,136.41 and 64,959.93

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Solution

The fourth proportional to 98,091.63, 147,136.41 and 64,959.93 is: 97,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,091.63 : 147,136.41 = 64,959.93 : x
  2. Step 2: Convert to fraction form
    98,091.63/147,136.41 = 64,959.93/x
  3. Step 3: Cross multiply
    98,091.63x = 147,136.41 × 64,959.93
  4. Step 4: Simplify right side
    98,091.63x = 9,557,970,894.05
  5. Step 5: Solve for x
    x = 9,557,970,894.05/98,091.63
  6. Step 6: Final answer
    x = 97,439.21

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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.