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Finding the Fourth Proportional to 116,422.32, 160,661.16 and 76,203.12

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Solution

The fourth proportional to 116,422.32, 160,661.16 and 76,203.12 is: 105,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,422.32 : 160,661.16 = 76,203.12 : x
  2. Step 2: Convert to fraction form
    116,422.32/160,661.16 = 76,203.12/x
  3. Step 3: Cross multiply
    116,422.32x = 160,661.16 × 76,203.12
  4. Step 4: Simplify right side
    116,422.32x = 12,242,881,654.82
  5. Step 5: Solve for x
    x = 12,242,881,654.82/116,422.32
  6. Step 6: Final answer
    x = 105,159.23

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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.