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Finding the Fourth Proportional to 165,831, 228,852.96 and 94,223.16

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Solution

The fourth proportional to 165,831, 228,852.96 and 94,223.16 is: 130,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,831 : 228,852.96 = 94,223.16 : x
  2. Step 2: Convert to fraction form
    165,831/228,852.96 = 94,223.16/x
  3. Step 3: Cross multiply
    165,831x = 228,852.96 × 94,223.16
  4. Step 4: Simplify right side
    165,831x = 21,563,249,066.55
  5. Step 5: Solve for x
    x = 21,563,249,066.55/165,831
  6. Step 6: Final answer
    x = 130,031.47

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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.