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Finding the Fourth Proportional to 127,144.36, 190,509.18 and 64,729

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Solution

The fourth proportional to 127,144.36, 190,509.18 and 64,729 is: 96,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,144.36 : 190,509.18 = 64,729 : x
  2. Step 2: Convert to fraction form
    127,144.36/190,509.18 = 64,729/x
  3. Step 3: Cross multiply
    127,144.36x = 190,509.18 × 64,729
  4. Step 4: Simplify right side
    127,144.36x = 12,331,468,712.22
  5. Step 5: Solve for x
    x = 12,331,468,712.22/127,144.36
  6. Step 6: Final answer
    x = 96,987.93

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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.