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Finding the Fourth Proportional to 256,115.84, 353,111.27 and 210,005.57

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Solution

The fourth proportional to 256,115.84, 353,111.27 and 210,005.57 is: 289,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,115.84 : 353,111.27 = 210,005.57 : x
  2. Step 2: Convert to fraction form
    256,115.84/353,111.27 = 210,005.57/x
  3. Step 3: Cross multiply
    256,115.84x = 353,111.27 × 210,005.57
  4. Step 4: Simplify right side
    256,115.84x = 74,155,333,362.52
  5. Step 5: Solve for x
    x = 74,155,333,362.52/256,115.84
  6. Step 6: Final answer
    x = 289,538.26

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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.