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Finding the Fourth Proportional to 102,559.84, 141,528 and 57,235.36

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Solution

The fourth proportional to 102,559.84, 141,528 and 57,235.36 is: 78,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,559.84 : 141,528 = 57,235.36 : x
  2. Step 2: Convert to fraction form
    102,559.84/141,528 = 57,235.36/x
  3. Step 3: Cross multiply
    102,559.84x = 141,528 × 57,235.36
  4. Step 4: Simplify right side
    102,559.84x = 8,100,406,030.08
  5. Step 5: Solve for x
    x = 8,100,406,030.08/102,559.84
  6. Step 6: Final answer
    x = 78,982.24

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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.