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Finding the Fourth Proportional to 281,948.96, 422,783.50 and 89,798.32

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Solution

The fourth proportional to 281,948.96, 422,783.50 and 89,798.32 is: 134,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,948.96 : 422,783.50 = 89,798.32 : x
  2. Step 2: Convert to fraction form
    281,948.96/422,783.50 = 89,798.32/x
  3. Step 3: Cross multiply
    281,948.96x = 422,783.50 × 89,798.32
  4. Step 4: Simplify right side
    281,948.96x = 37,965,248,023.72
  5. Step 5: Solve for x
    x = 37,965,248,023.72/281,948.96
  6. Step 6: Final answer
    x = 134,652.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.