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Finding the Fourth Proportional to 265,818, 366,828.84 and 146,586

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Solution

The fourth proportional to 265,818, 366,828.84 and 146,586 is: 202,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,818 : 366,828.84 = 146,586 : x
  2. Step 2: Convert to fraction form
    265,818/366,828.84 = 146,586/x
  3. Step 3: Cross multiply
    265,818x = 366,828.84 × 146,586
  4. Step 4: Simplify right side
    265,818x = 53,771,972,340.24
  5. Step 5: Solve for x
    x = 53,771,972,340.24/265,818
  6. Step 6: Final answer
    x = 202,288.68

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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.