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Finding the Fourth Proportional to 147,802.59, 202,490.30 and 142,267.56

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Solution

The fourth proportional to 147,802.59, 202,490.30 and 142,267.56 is: 194,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,802.59 : 202,490.30 = 142,267.56 : x
  2. Step 2: Convert to fraction form
    147,802.59/202,490.30 = 142,267.56/x
  3. Step 3: Cross multiply
    147,802.59x = 202,490.30 × 142,267.56
  4. Step 4: Simplify right side
    147,802.59x = 28,807,800,193.33
  5. Step 5: Solve for x
    x = 28,807,800,193.33/147,802.59
  6. Step 6: Final answer
    x = 194,907.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.