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Finding the Fourth Proportional to 128,849, 177,831.06 and 78,577.16

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Solution

The fourth proportional to 128,849, 177,831.06 and 78,577.16 is: 108,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,849 : 177,831.06 = 78,577.16 : x
  2. Step 2: Convert to fraction form
    128,849/177,831.06 = 78,577.16/x
  3. Step 3: Cross multiply
    128,849x = 177,831.06 × 78,577.16
  4. Step 4: Simplify right side
    128,849x = 13,973,459,654.59
  5. Step 5: Solve for x
    x = 13,973,459,654.59/128,849
  6. Step 6: Final answer
    x = 108,448.34

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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.