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Finding the Fourth Proportional to 180,141.41, 248,590.82 and 98,466.00

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Solution

The fourth proportional to 180,141.41, 248,590.82 and 98,466.00 is: 135,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,141.41 : 248,590.82 = 98,466.00 : x
  2. Step 2: Convert to fraction form
    180,141.41/248,590.82 = 98,466.00/x
  3. Step 3: Cross multiply
    180,141.41x = 248,590.82 × 98,466.00
  4. Step 4: Simplify right side
    180,141.41x = 24,477,742,442.20
  5. Step 5: Solve for x
    x = 24,477,742,442.20/180,141.41
  6. Step 6: Final answer
    x = 135,880.71

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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.