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Finding the Fourth Proportional to 165,226.32, 228,012.32 and 98,158.32

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Solution

The fourth proportional to 165,226.32, 228,012.32 and 98,158.32 is: 135,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,226.32 : 228,012.32 = 98,158.32 : x
  2. Step 2: Convert to fraction form
    165,226.32/228,012.32 = 98,158.32/x
  3. Step 3: Cross multiply
    165,226.32x = 228,012.32 × 98,158.32
  4. Step 4: Simplify right side
    165,226.32x = 22,381,305,779.71
  5. Step 5: Solve for x
    x = 22,381,305,779.71/165,226.32
  6. Step 6: Final answer
    x = 135,458.48

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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.