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Finding the Fourth Proportional to 213,256.80, 319,798.80 and 72,943.20

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Solution

The fourth proportional to 213,256.80, 319,798.80 and 72,943.20 is: 109,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,256.80 : 319,798.80 = 72,943.20 : x
  2. Step 2: Convert to fraction form
    213,256.80/319,798.80 = 72,943.20/x
  3. Step 3: Cross multiply
    213,256.80x = 319,798.80 × 72,943.20
  4. Step 4: Simplify right side
    213,256.80x = 23,327,147,828.16
  5. Step 5: Solve for x
    x = 23,327,147,828.16/213,256.80
  6. Step 6: Final answer
    x = 109,385.25

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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.