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Finding the Fourth Proportional to 117,834.40, 176,492.40 and 102,282.40

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Solution

The fourth proportional to 117,834.40, 176,492.40 and 102,282.40 is: 153,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,834.40 : 176,492.40 = 102,282.40 : x
  2. Step 2: Convert to fraction form
    117,834.40/176,492.40 = 102,282.40/x
  3. Step 3: Cross multiply
    117,834.40x = 176,492.40 × 102,282.40
  4. Step 4: Simplify right side
    117,834.40x = 18,052,066,253.76
  5. Step 5: Solve for x
    x = 18,052,066,253.76/117,834.40
  6. Step 6: Final answer
    x = 153,198.61

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Why These Related Problems?

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