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Finding the Fourth Proportional to 116,509.60, 174,418.80 and 77,111.20

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Solution

The fourth proportional to 116,509.60, 174,418.80 and 77,111.20 is: 115,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,509.60 : 174,418.80 = 77,111.20 : x
  2. Step 2: Convert to fraction form
    116,509.60/174,418.80 = 77,111.20/x
  3. Step 3: Cross multiply
    116,509.60x = 174,418.80 × 77,111.20
  4. Step 4: Simplify right side
    116,509.60x = 13,449,642,970.56
  5. Step 5: Solve for x
    x = 13,449,642,970.56/116,509.60
  6. Step 6: Final answer
    x = 115,438.07

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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.