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Finding the Fourth Proportional to 145,984.36, 218,984.36 and 46,136.96

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Solution

The fourth proportional to 145,984.36, 218,984.36 and 46,136.96 is: 69,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,984.36 : 218,984.36 = 46,136.96 : x
  2. Step 2: Convert to fraction form
    145,984.36/218,984.36 = 46,136.96/x
  3. Step 3: Cross multiply
    145,984.36x = 218,984.36 × 46,136.96
  4. Step 4: Simplify right side
    145,984.36x = 10,103,272,657.95
  5. Step 5: Solve for x
    x = 10,103,272,657.95/145,984.36
  6. Step 6: Final answer
    x = 69,207.91

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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.