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Finding the Fourth Proportional to 228,943.64, 316,008.12 and 138,285.20

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Solution

The fourth proportional to 228,943.64, 316,008.12 and 138,285.20 is: 190,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,943.64 : 316,008.12 = 138,285.20 : x
  2. Step 2: Convert to fraction form
    228,943.64/316,008.12 = 138,285.20/x
  3. Step 3: Cross multiply
    228,943.64x = 316,008.12 × 138,285.20
  4. Step 4: Simplify right side
    228,943.64x = 43,699,246,075.82
  5. Step 5: Solve for x
    x = 43,699,246,075.82/228,943.64
  6. Step 6: Final answer
    x = 190,873.38

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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.