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Finding the Fourth Proportional to 265,670.38, 366,614.10 and 144,809.02

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Solution

The fourth proportional to 265,670.38, 366,614.10 and 144,809.02 is: 199,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,670.38 : 366,614.10 = 144,809.02 : x
  2. Step 2: Convert to fraction form
    265,670.38/366,614.10 = 144,809.02/x
  3. Step 3: Cross multiply
    265,670.38x = 366,614.10 × 144,809.02
  4. Step 4: Simplify right side
    265,670.38x = 53,089,026,935.25
  5. Step 5: Solve for x
    x = 53,089,026,935.25/265,670.38
  6. Step 6: Final answer
    x = 199,830.43

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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.