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Finding the Fourth Proportional to 165,416.16, 228,276.72 and 101,716.32

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Solution

The fourth proportional to 165,416.16, 228,276.72 and 101,716.32 is: 140,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,416.16 : 228,276.72 = 101,716.32 : x
  2. Step 2: Convert to fraction form
    165,416.16/228,276.72 = 101,716.32/x
  3. Step 3: Cross multiply
    165,416.16x = 228,276.72 × 101,716.32
  4. Step 4: Simplify right side
    165,416.16x = 23,219,467,900.07
  5. Step 5: Solve for x
    x = 23,219,467,900.07/165,416.16
  6. Step 6: Final answer
    x = 140,370.01

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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.