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Finding the Fourth Proportional to 165,806.48, 228,889.32 and 97,800.32

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Solution

The fourth proportional to 165,806.48, 228,889.32 and 97,800.32 is: 135,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,806.48 : 228,889.32 = 97,800.32 : x
  2. Step 2: Convert to fraction form
    165,806.48/228,889.32 = 97,800.32/x
  3. Step 3: Cross multiply
    165,806.48x = 228,889.32 × 97,800.32
  4. Step 4: Simplify right side
    165,806.48x = 22,385,448,740.58
  5. Step 5: Solve for x
    x = 22,385,448,740.58/165,806.48
  6. Step 6: Final answer
    x = 135,009.49

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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.