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Finding the Fourth Proportional to 165,672, 228,648.96 and 98,604

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Solution

The fourth proportional to 165,672, 228,648.96 and 98,604 is: 136,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,672 : 228,648.96 = 98,604 : x
  2. Step 2: Convert to fraction form
    165,672/228,648.96 = 98,604/x
  3. Step 3: Cross multiply
    165,672x = 228,648.96 × 98,604
  4. Step 4: Simplify right side
    165,672x = 22,545,702,051.84
  5. Step 5: Solve for x
    x = 22,545,702,051.84/165,672
  6. Step 6: Final answer
    x = 136,086.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.