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Finding the Fourth Proportional to 254,832.99, 382,264.07 and 77,345.79

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Solution

The fourth proportional to 254,832.99, 382,264.07 and 77,345.79 is: 116,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,832.99 : 382,264.07 = 77,345.79 : x
  2. Step 2: Convert to fraction form
    254,832.99/382,264.07 = 77,345.79/x
  3. Step 3: Cross multiply
    254,832.99x = 382,264.07 × 77,345.79
  4. Step 4: Simplify right side
    254,832.99x = 29,566,516,096.04
  5. Step 5: Solve for x
    x = 29,566,516,096.04/254,832.99
  6. Step 6: Final answer
    x = 116,023.11

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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.