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Finding the Fourth Proportional to 265,738, 366,718.44 and 146,506

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Solution

The fourth proportional to 265,738, 366,718.44 and 146,506 is: 202,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,738 : 366,718.44 = 146,506 : x
  2. Step 2: Convert to fraction form
    265,738/366,718.44 = 146,506/x
  3. Step 3: Cross multiply
    265,738x = 366,718.44 × 146,506
  4. Step 4: Simplify right side
    265,738x = 53,726,451,770.64
  5. Step 5: Solve for x
    x = 53,726,451,770.64/265,738
  6. Step 6: Final answer
    x = 202,178.28

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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.