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Finding the Fourth Proportional to 151,312, 208,817.04 and 84,244

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Solution

The fourth proportional to 151,312, 208,817.04 and 84,244 is: 116,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,312 : 208,817.04 = 84,244 : x
  2. Step 2: Convert to fraction form
    151,312/208,817.04 = 84,244/x
  3. Step 3: Cross multiply
    151,312x = 208,817.04 × 84,244
  4. Step 4: Simplify right side
    151,312x = 17,591,582,717.76
  5. Step 5: Solve for x
    x = 17,591,582,717.76/151,312
  6. Step 6: Final answer
    x = 116,260.33

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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.