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Finding the Fourth Proportional to 270,838.60, 373,752.64 and 149,977.28

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Solution

The fourth proportional to 270,838.60, 373,752.64 and 149,977.28 is: 206,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,838.60 : 373,752.64 = 149,977.28 : x
  2. Step 2: Convert to fraction form
    270,838.60/373,752.64 = 149,977.28/x
  3. Step 3: Cross multiply
    270,838.60x = 373,752.64 × 149,977.28
  4. Step 4: Simplify right side
    270,838.60x = 56,054,404,340.02
  5. Step 5: Solve for x
    x = 56,054,404,340.02/270,838.60
  6. Step 6: Final answer
    x = 206,966.08

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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.