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Finding the Fourth Proportional to 165,440.16, 228,309.84 and 101,740.32

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Solution

The fourth proportional to 165,440.16, 228,309.84 and 101,740.32 is: 140,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,440.16 : 228,309.84 = 101,740.32 : x
  2. Step 2: Convert to fraction form
    165,440.16/228,309.84 = 101,740.32/x
  3. Step 3: Cross multiply
    165,440.16x = 228,309.84 × 101,740.32
  4. Step 4: Simplify right side
    165,440.16x = 23,228,316,180.75
  5. Step 5: Solve for x
    x = 23,228,316,180.75/165,440.16
  6. Step 6: Final answer
    x = 140,403.13

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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.