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Finding the Fourth Proportional to 115,875, 159,907.50 and 62,883

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Solution

The fourth proportional to 115,875, 159,907.50 and 62,883 is: 86,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,875 : 159,907.50 = 62,883 : x
  2. Step 2: Convert to fraction form
    115,875/159,907.50 = 62,883/x
  3. Step 3: Cross multiply
    115,875x = 159,907.50 × 62,883
  4. Step 4: Simplify right side
    115,875x = 10,055,463,322.50
  5. Step 5: Solve for x
    x = 10,055,463,322.50/115,875
  6. Step 6: Final answer
    x = 86,778.54

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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.