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Finding the Fourth Proportional to 187,717.34, 259,056.40 and 102,834.40

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Solution

The fourth proportional to 187,717.34, 259,056.40 and 102,834.40 is: 141,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,717.34 : 259,056.40 = 102,834.40 : x
  2. Step 2: Convert to fraction form
    187,717.34/259,056.40 = 102,834.40/x
  3. Step 3: Cross multiply
    187,717.34x = 259,056.40 × 102,834.40
  4. Step 4: Simplify right side
    187,717.34x = 26,639,909,460.16
  5. Step 5: Solve for x
    x = 26,639,909,460.16/187,717.34
  6. Step 6: Final answer
    x = 141,915.02

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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.