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Finding the Fourth Proportional to 291,955.78, 437,911.80 and 81,610.12

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Solution

The fourth proportional to 291,955.78, 437,911.80 and 81,610.12 is: 122,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,955.78 : 437,911.80 = 81,610.12 : x
  2. Step 2: Convert to fraction form
    291,955.78/437,911.80 = 81,610.12/x
  3. Step 3: Cross multiply
    291,955.78x = 437,911.80 × 81,610.12
  4. Step 4: Simplify right side
    291,955.78x = 35,738,034,547.42
  5. Step 5: Solve for x
    x = 35,738,034,547.42/291,955.78
  6. Step 6: Final answer
    x = 122,409.07

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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.