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Finding the Fourth Proportional to 165,327.06, 228,152.25 and 97,347

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Solution

The fourth proportional to 165,327.06, 228,152.25 and 97,347 is: 134,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,327.06 : 228,152.25 = 97,347 : x
  2. Step 2: Convert to fraction form
    165,327.06/228,152.25 = 97,347/x
  3. Step 3: Cross multiply
    165,327.06x = 228,152.25 × 97,347
  4. Step 4: Simplify right side
    165,327.06x = 22,209,937,080.75
  5. Step 5: Solve for x
    x = 22,209,937,080.75/165,327.06
  6. Step 6: Final answer
    x = 134,339.39

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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.