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Finding the Fourth Proportional to 153,410.64, 211,708.26 and 89,736

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Solution

The fourth proportional to 153,410.64, 211,708.26 and 89,736 is: 123,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,410.64 : 211,708.26 = 89,736 : x
  2. Step 2: Convert to fraction form
    153,410.64/211,708.26 = 89,736/x
  3. Step 3: Cross multiply
    153,410.64x = 211,708.26 × 89,736
  4. Step 4: Simplify right side
    153,410.64x = 18,997,852,419.36
  5. Step 5: Solve for x
    x = 18,997,852,419.36/153,410.64
  6. Step 6: Final answer
    x = 123,836.60

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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.