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Finding the Fourth Proportional to 265,669.76, 366,617.76 and 144,814.40

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Solution

The fourth proportional to 265,669.76, 366,617.76 and 144,814.40 is: 199,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,669.76 : 366,617.76 = 144,814.40 : x
  2. Step 2: Convert to fraction form
    265,669.76/366,617.76 = 144,814.40/x
  3. Step 3: Cross multiply
    265,669.76x = 366,617.76 × 144,814.40
  4. Step 4: Simplify right side
    265,669.76x = 53,091,530,943.74
  5. Step 5: Solve for x
    x = 53,091,530,943.74/265,669.76
  6. Step 6: Final answer
    x = 199,840.32

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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.