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Finding the Fourth Proportional to 152,284.73, 210,055.46 and 122,142.41

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Solution

The fourth proportional to 152,284.73, 210,055.46 and 122,142.41 is: 168,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,284.73 : 210,055.46 = 122,142.41 : x
  2. Step 2: Convert to fraction form
    152,284.73/210,055.46 = 122,142.41/x
  3. Step 3: Cross multiply
    152,284.73x = 210,055.46 × 122,142.41
  4. Step 4: Simplify right side
    152,284.73x = 25,656,678,457.07
  5. Step 5: Solve for x
    x = 25,656,678,457.07/152,284.73
  6. Step 6: Final answer
    x = 168,478.34

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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.