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Finding the Fourth Proportional to 123,584, 183,786.16 and 119,647.36

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Solution

The fourth proportional to 123,584, 183,786.16 and 119,647.36 is: 177,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,584 : 183,786.16 = 119,647.36 : x
  2. Step 2: Convert to fraction form
    123,584/183,786.16 = 119,647.36/x
  3. Step 3: Cross multiply
    123,584x = 183,786.16 × 119,647.36
  4. Step 4: Simplify right side
    123,584x = 21,989,528,848.54
  5. Step 5: Solve for x
    x = 21,989,528,848.54/123,584
  6. Step 6: Final answer
    x = 177,931.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.