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Finding the Fourth Proportional to 261,116, 360,341.04 and 141,884

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Solution

The fourth proportional to 261,116, 360,341.04 and 141,884 is: 195,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,116 : 360,341.04 = 141,884 : x
  2. Step 2: Convert to fraction form
    261,116/360,341.04 = 141,884/x
  3. Step 3: Cross multiply
    261,116x = 360,341.04 × 141,884
  4. Step 4: Simplify right side
    261,116x = 51,126,628,119.36
  5. Step 5: Solve for x
    x = 51,126,628,119.36/261,116
  6. Step 6: Final answer
    x = 195,800.44

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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.