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Finding the Fourth Proportional to 178,400.12, 245,954.00 and 141,728.01

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Solution

The fourth proportional to 178,400.12, 245,954.00 and 141,728.01 is: 195,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,400.12 : 245,954.00 = 141,728.01 : x
  2. Step 2: Convert to fraction form
    178,400.12/245,954.00 = 141,728.01/x
  3. Step 3: Cross multiply
    178,400.12x = 245,954.00 × 141,728.01
  4. Step 4: Simplify right side
    178,400.12x = 34,858,570,617.22
  5. Step 5: Solve for x
    x = 34,858,570,617.22/178,400.12
  6. Step 6: Final answer
    x = 195,395.45

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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.