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Finding the Fourth Proportional to 164,587.50, 227,130.75 and 89,136

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Solution

The fourth proportional to 164,587.50, 227,130.75 and 89,136 is: 123,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,587.50 : 227,130.75 = 89,136 : x
  2. Step 2: Convert to fraction form
    164,587.50/227,130.75 = 89,136/x
  3. Step 3: Cross multiply
    164,587.50x = 227,130.75 × 89,136
  4. Step 4: Simplify right side
    164,587.50x = 20,245,526,532
  5. Step 5: Solve for x
    x = 20,245,526,532/164,587.50
  6. Step 6: Final answer
    x = 123,007.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.