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Finding the Fourth Proportional to 259,111.44, 357,663.36 and 151,716

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Solution

The fourth proportional to 259,111.44, 357,663.36 and 151,716 is: 209,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,111.44 : 357,663.36 = 151,716 : x
  2. Step 2: Convert to fraction form
    259,111.44/357,663.36 = 151,716/x
  3. Step 3: Cross multiply
    259,111.44x = 357,663.36 × 151,716
  4. Step 4: Simplify right side
    259,111.44x = 54,263,254,325.76
  5. Step 5: Solve for x
    x = 54,263,254,325.76/259,111.44
  6. Step 6: Final answer
    x = 209,420.53

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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.