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Finding the Fourth Proportional to 102,425.50, 141,347.80 and 57,106.34

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Solution

The fourth proportional to 102,425.50, 141,347.80 and 57,106.34 is: 78,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,425.50 : 141,347.80 = 57,106.34 : x
  2. Step 2: Convert to fraction form
    102,425.50/141,347.80 = 57,106.34/x
  3. Step 3: Cross multiply
    102,425.50x = 141,347.80 × 57,106.34
  4. Step 4: Simplify right side
    102,425.50x = 8,071,855,525.05
  5. Step 5: Solve for x
    x = 8,071,855,525.05/102,425.50
  6. Step 6: Final answer
    x = 78,807.09

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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.