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Finding the Fourth Proportional to 185,877.09, 256,502.03 and 105,302.97

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Solution

The fourth proportional to 185,877.09, 256,502.03 and 105,302.97 is: 145,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,877.09 : 256,502.03 = 105,302.97 : x
  2. Step 2: Convert to fraction form
    185,877.09/256,502.03 = 105,302.97/x
  3. Step 3: Cross multiply
    185,877.09x = 256,502.03 × 105,302.97
  4. Step 4: Simplify right side
    185,877.09x = 27,010,425,043.51
  5. Step 5: Solve for x
    x = 27,010,425,043.51/185,877.09
  6. Step 6: Final answer
    x = 145,313.36

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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.