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Finding the Fourth Proportional to 102,477.09, 141,419.16 and 57,158.04

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Solution

The fourth proportional to 102,477.09, 141,419.16 and 57,158.04 is: 78,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,477.09 : 141,419.16 = 57,158.04 : x
  2. Step 2: Convert to fraction form
    102,477.09/141,419.16 = 57,158.04/x
  3. Step 3: Cross multiply
    102,477.09x = 141,419.16 × 57,158.04
  4. Step 4: Simplify right side
    102,477.09x = 8,083,242,004.05
  5. Step 5: Solve for x
    x = 8,083,242,004.05/102,477.09
  6. Step 6: Final answer
    x = 78,878.53

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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.