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Finding the Fourth Proportional to 316,023.44, 436,141.38 and 180,075.86

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Solution

The fourth proportional to 316,023.44, 436,141.38 and 180,075.86 is: 248,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,023.44 : 436,141.38 = 180,075.86 : x
  2. Step 2: Convert to fraction form
    316,023.44/436,141.38 = 180,075.86/x
  3. Step 3: Cross multiply
    316,023.44x = 436,141.38 × 180,075.86
  4. Step 4: Simplify right side
    316,023.44x = 78,538,534,085.09
  5. Step 5: Solve for x
    x = 78,538,534,085.09/316,023.44
  6. Step 6: Final answer
    x = 248,521.23

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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.