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Finding the Fourth Proportional to 165,347, 228,180.48 and 89,897.12

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Solution

The fourth proportional to 165,347, 228,180.48 and 89,897.12 is: 124,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,347 : 228,180.48 = 89,897.12 : x
  2. Step 2: Convert to fraction form
    165,347/228,180.48 = 89,897.12/x
  3. Step 3: Cross multiply
    165,347x = 228,180.48 × 89,897.12
  4. Step 4: Simplify right side
    165,347x = 20,512,767,992.22
  5. Step 5: Solve for x
    x = 20,512,767,992.22/165,347
  6. Step 6: Final answer
    x = 124,058.91

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1.5x scale

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.