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Finding the Fourth Proportional to 151,725.68, 209,381.28 and 84,657.68

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Solution

The fourth proportional to 151,725.68, 209,381.28 and 84,657.68 is: 116,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,725.68 : 209,381.28 = 84,657.68 : x
  2. Step 2: Convert to fraction form
    151,725.68/209,381.28 = 84,657.68/x
  3. Step 3: Cross multiply
    151,725.68x = 209,381.28 × 84,657.68
  4. Step 4: Simplify right side
    151,725.68x = 17,725,733,400.23
  5. Step 5: Solve for x
    x = 17,725,733,400.23/151,725.68
  6. Step 6: Final answer
    x = 116,827.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.