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Finding the Fourth Proportional to 98,136, 147,206.43 and 35,806.50

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Solution

The fourth proportional to 98,136, 147,206.43 and 35,806.50 is: 53,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,136 : 147,206.43 = 35,806.50 : x
  2. Step 2: Convert to fraction form
    98,136/147,206.43 = 35,806.50/x
  3. Step 3: Cross multiply
    98,136x = 147,206.43 × 35,806.50
  4. Step 4: Simplify right side
    98,136x = 5,270,947,035.80
  5. Step 5: Solve for x
    x = 5,270,947,035.80/98,136
  6. Step 6: Final answer
    x = 53,710.64

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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.