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Finding the Fourth Proportional to 315,858.25, 435,905.40 and 178,071.16

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Solution

The fourth proportional to 315,858.25, 435,905.40 and 178,071.16 is: 245,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,858.25 : 435,905.40 = 178,071.16 : x
  2. Step 2: Convert to fraction form
    315,858.25/435,905.40 = 178,071.16/x
  3. Step 3: Cross multiply
    315,858.25x = 435,905.40 × 178,071.16
  4. Step 4: Simplify right side
    315,858.25x = 77,622,180,228.26
  5. Step 5: Solve for x
    x = 77,622,180,228.26/315,858.25
  6. Step 6: Final answer
    x = 245,750.05

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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.