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Finding the Fourth Proportional to 265,445, 366,314.12 and 146,213

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Solution

The fourth proportional to 265,445, 366,314.12 and 146,213 is: 201,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,445 : 366,314.12 = 146,213 : x
  2. Step 2: Convert to fraction form
    265,445/366,314.12 = 146,213/x
  3. Step 3: Cross multiply
    265,445x = 366,314.12 × 146,213
  4. Step 4: Simplify right side
    265,445x = 53,559,886,427.56
  5. Step 5: Solve for x
    x = 53,559,886,427.56/265,445
  6. Step 6: Final answer
    x = 201,773.95

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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.