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Finding the Fourth Proportional to 165,415.84, 228,156.96 and 114,444.16

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Solution

The fourth proportional to 165,415.84, 228,156.96 and 114,444.16 is: 157,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,415.84 : 228,156.96 = 114,444.16 : x
  2. Step 2: Convert to fraction form
    165,415.84/228,156.96 = 114,444.16/x
  3. Step 3: Cross multiply
    165,415.84x = 228,156.96 × 114,444.16
  4. Step 4: Simplify right side
    165,415.84x = 26,111,231,635.35
  5. Step 5: Solve for x
    x = 26,111,231,635.35/165,415.84
  6. Step 6: Final answer
    x = 157,852.06

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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.