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Finding the Fourth Proportional to 214,543.95, 296,054.24 and 123,858.51

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Solution

The fourth proportional to 214,543.95, 296,054.24 and 123,858.51 is: 170,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,543.95 : 296,054.24 = 123,858.51 : x
  2. Step 2: Convert to fraction form
    214,543.95/296,054.24 = 123,858.51/x
  3. Step 3: Cross multiply
    214,543.95x = 296,054.24 × 123,858.51
  4. Step 4: Simplify right side
    214,543.95x = 36,668,836,426.29
  5. Step 5: Solve for x
    x = 36,668,836,426.29/214,543.95
  6. Step 6: Final answer
    x = 170,915.27

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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.