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Finding the Fourth Proportional to 165,408.48, 228,050.64 and 120,152.16

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Solution

The fourth proportional to 165,408.48, 228,050.64 and 120,152.16 is: 165,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,408.48 : 228,050.64 = 120,152.16 : x
  2. Step 2: Convert to fraction form
    165,408.48/228,050.64 = 120,152.16/x
  3. Step 3: Cross multiply
    165,408.48x = 228,050.64 × 120,152.16
  4. Step 4: Simplify right side
    165,408.48x = 27,400,776,985.38
  5. Step 5: Solve for x
    x = 27,400,776,985.38/165,408.48
  6. Step 6: Final answer
    x = 165,655.21

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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.