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Finding the Fourth Proportional to 295,095.06, 407,232.45 and 160,961.94

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Solution

The fourth proportional to 295,095.06, 407,232.45 and 160,961.94 is: 222,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,095.06 : 407,232.45 = 160,961.94 : x
  2. Step 2: Convert to fraction form
    295,095.06/407,232.45 = 160,961.94/x
  3. Step 3: Cross multiply
    295,095.06x = 407,232.45 × 160,961.94
  4. Step 4: Simplify right side
    295,095.06x = 65,548,925,182.95
  5. Step 5: Solve for x
    x = 65,548,925,182.95/295,095.06
  6. Step 6: Final answer
    x = 222,128.17

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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.