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Finding the Fourth Proportional to 135,070.70, 202,482.20 and 51,902.06

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Solution

The fourth proportional to 135,070.70, 202,482.20 and 51,902.06 is: 77,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,070.70 : 202,482.20 = 51,902.06 : x
  2. Step 2: Convert to fraction form
    135,070.70/202,482.20 = 51,902.06/x
  3. Step 3: Cross multiply
    135,070.70x = 202,482.20 × 51,902.06
  4. Step 4: Simplify right side
    135,070.70x = 10,509,243,293.33
  5. Step 5: Solve for x
    x = 10,509,243,293.33/135,070.70
  6. Step 6: Final answer
    x = 77,805.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.