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Finding the Fourth Proportional to 265,904.61, 366,953.49 and 145,050.33

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Solution

The fourth proportional to 265,904.61, 366,953.49 and 145,050.33 is: 200,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,904.61 : 366,953.49 = 145,050.33 : x
  2. Step 2: Convert to fraction form
    265,904.61/366,953.49 = 145,050.33/x
  3. Step 3: Cross multiply
    265,904.61x = 366,953.49 × 145,050.33
  4. Step 4: Simplify right side
    265,904.61x = 53,226,724,819.15
  5. Step 5: Solve for x
    x = 53,226,724,819.15/265,904.61
  6. Step 6: Final answer
    x = 200,172.25

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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.