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Finding the Fourth Proportional to 157,224.74, 235,697.76 and 112,739.54

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Solution

The fourth proportional to 157,224.74, 235,697.76 and 112,739.54 is: 169,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,224.74 : 235,697.76 = 112,739.54 : x
  2. Step 2: Convert to fraction form
    157,224.74/235,697.76 = 112,739.54/x
  3. Step 3: Cross multiply
    157,224.74x = 235,697.76 × 112,739.54
  4. Step 4: Simplify right side
    157,224.74x = 26,572,457,041.43
  5. Step 5: Solve for x
    x = 26,572,457,041.43/157,224.74
  6. Step 6: Final answer
    x = 169,009.39

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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.