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Finding the Fourth Proportional to 265,830, 366,840.36 and 144,972.24

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Solution

The fourth proportional to 265,830, 366,840.36 and 144,972.24 is: 200,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,830 : 366,840.36 = 144,972.24 : x
  2. Step 2: Convert to fraction form
    265,830/366,840.36 = 144,972.24/x
  3. Step 3: Cross multiply
    265,830x = 366,840.36 × 144,972.24
  4. Step 4: Simplify right side
    265,830x = 53,181,668,711.61
  5. Step 5: Solve for x
    x = 53,181,668,711.61/265,830
  6. Step 6: Final answer
    x = 200,058.94

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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.