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Finding the Fourth Proportional to 213,577.64, 320,948.44 and 113,809.13

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Solution

The fourth proportional to 213,577.64, 320,948.44 and 113,809.13 is: 171,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,577.64 : 320,948.44 = 113,809.13 : x
  2. Step 2: Convert to fraction form
    213,577.64/320,948.44 = 113,809.13/x
  3. Step 3: Cross multiply
    213,577.64x = 320,948.44 × 113,809.13
  4. Step 4: Simplify right side
    213,577.64x = 36,526,862,731.26
  5. Step 5: Solve for x
    x = 36,526,862,731.26/213,577.64
  6. Step 6: Final answer
    x = 171,023.81

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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.