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Finding the Fourth Proportional to 268,120, 370,005.60 and 148,888

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Solution

The fourth proportional to 268,120, 370,005.60 and 148,888 is: 205,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,120 : 370,005.60 = 148,888 : x
  2. Step 2: Convert to fraction form
    268,120/370,005.60 = 148,888/x
  3. Step 3: Cross multiply
    268,120x = 370,005.60 × 148,888
  4. Step 4: Simplify right side
    268,120x = 55,089,393,772.80
  5. Step 5: Solve for x
    x = 55,089,393,772.80/268,120
  6. Step 6: Final answer
    x = 205,465.44

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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.