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Finding the Fourth Proportional to 187,838.40, 282,049.20 and 109,106.40

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Solution

The fourth proportional to 187,838.40, 282,049.20 and 109,106.40 is: 163,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,838.40 : 282,049.20 = 109,106.40 : x
  2. Step 2: Convert to fraction form
    187,838.40/282,049.20 = 109,106.40/x
  3. Step 3: Cross multiply
    187,838.40x = 282,049.20 × 109,106.40
  4. Step 4: Simplify right side
    187,838.40x = 30,773,372,834.88
  5. Step 5: Solve for x
    x = 30,773,372,834.88/187,838.40
  6. Step 6: Final answer
    x = 163,828.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.