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Finding the Fourth Proportional to 157,833.82, 236,785.72 and 45,505.28

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Solution

The fourth proportional to 157,833.82, 236,785.72 and 45,505.28 is: 68,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,833.82 : 236,785.72 = 45,505.28 : x
  2. Step 2: Convert to fraction form
    157,833.82/236,785.72 = 45,505.28/x
  3. Step 3: Cross multiply
    157,833.82x = 236,785.72 × 45,505.28
  4. Step 4: Simplify right side
    157,833.82x = 10,774,999,720.21
  5. Step 5: Solve for x
    x = 10,774,999,720.21/157,833.82
  6. Step 6: Final answer
    x = 68,268.00

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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.