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Finding the Fourth Proportional to 187,689.68, 259,011.82 and 102,809.80

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Solution

The fourth proportional to 187,689.68, 259,011.82 and 102,809.80 is: 141,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,689.68 : 259,011.82 = 102,809.80 : x
  2. Step 2: Convert to fraction form
    187,689.68/259,011.82 = 102,809.80/x
  3. Step 3: Cross multiply
    187,689.68x = 259,011.82 × 102,809.80
  4. Step 4: Simplify right side
    187,689.68x = 26,628,953,411.84
  5. Step 5: Solve for x
    x = 26,628,953,411.84/187,689.68
  6. Step 6: Final answer
    x = 141,877.56

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1.5x scale

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.