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Finding the Fourth Proportional to 187,877.82, 259,266.01 and 107,303.68

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Solution

The fourth proportional to 187,877.82, 259,266.01 and 107,303.68 is: 148,076.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,877.82 : 259,266.01 = 107,303.68 : x
  2. Step 2: Convert to fraction form
    187,877.82/259,266.01 = 107,303.68/x
  3. Step 3: Cross multiply
    187,877.82x = 259,266.01 × 107,303.68
  4. Step 4: Simplify right side
    187,877.82x = 27,820,196,971.92
  5. Step 5: Solve for x
    x = 27,820,196,971.92/187,877.82
  6. Step 6: Final answer
    x = 148,076.00

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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.