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Finding the Fourth Proportional to 102,364.40, 141,261 and 57,652.40

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Solution

The fourth proportional to 102,364.40, 141,261 and 57,652.40 is: 79,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,364.40 : 141,261 = 57,652.40 : x
  2. Step 2: Convert to fraction form
    102,364.40/141,261 = 57,652.40/x
  3. Step 3: Cross multiply
    102,364.40x = 141,261 × 57,652.40
  4. Step 4: Simplify right side
    102,364.40x = 8,144,035,676.40
  5. Step 5: Solve for x
    x = 8,144,035,676.40/102,364.40
  6. Step 6: Final answer
    x = 79,559.26

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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.