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Finding the Fourth Proportional to 254,752.85, 382,129.29 and 114,347.45

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Solution

The fourth proportional to 254,752.85, 382,129.29 and 114,347.45 is: 171,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,752.85 : 382,129.29 = 114,347.45 : x
  2. Step 2: Convert to fraction form
    254,752.85/382,129.29 = 114,347.45/x
  3. Step 3: Cross multiply
    254,752.85x = 382,129.29 × 114,347.45
  4. Step 4: Simplify right side
    254,752.85x = 43,695,510,837.13
  5. Step 5: Solve for x
    x = 43,695,510,837.13/254,752.85
  6. Step 6: Final answer
    x = 171,521.18

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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.