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Finding the Fourth Proportional to 150,283.50, 207,397.71 and 83,215.50

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Solution

The fourth proportional to 150,283.50, 207,397.71 and 83,215.50 is: 114,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,283.50 : 207,397.71 = 83,215.50 : x
  2. Step 2: Convert to fraction form
    150,283.50/207,397.71 = 83,215.50/x
  3. Step 3: Cross multiply
    150,283.50x = 207,397.71 × 83,215.50
  4. Step 4: Simplify right side
    150,283.50x = 17,258,704,136.51
  5. Step 5: Solve for x
    x = 17,258,704,136.51/150,283.50
  6. Step 6: Final answer
    x = 114,840.98

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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.