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Finding the Fourth Proportional to 252,477.30, 378,205.65 and 157,415.70

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Solution

The fourth proportional to 252,477.30, 378,205.65 and 157,415.70 is: 235,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,477.30 : 378,205.65 = 157,415.70 : x
  2. Step 2: Convert to fraction form
    252,477.30/378,205.65 = 157,415.70/x
  3. Step 3: Cross multiply
    252,477.30x = 378,205.65 × 157,415.70
  4. Step 4: Simplify right side
    252,477.30x = 59,535,507,138.71
  5. Step 5: Solve for x
    x = 59,535,507,138.71/252,477.30
  6. Step 6: Final answer
    x = 235,805.39

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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.