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Finding the Fourth Proportional to 164,032.36, 224,888.34 and 161,043

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Solution

The fourth proportional to 164,032.36, 224,888.34 and 161,043 is: 220,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,032.36 : 224,888.34 = 161,043 : x
  2. Step 2: Convert to fraction form
    164,032.36/224,888.34 = 161,043/x
  3. Step 3: Cross multiply
    164,032.36x = 224,888.34 × 161,043
  4. Step 4: Simplify right side
    164,032.36x = 36,216,692,133.41
  5. Step 5: Solve for x
    x = 36,216,692,133.41/164,032.36
  6. Step 6: Final answer
    x = 220,789.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.