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Finding the Fourth Proportional to 109,059.45, 152,838.75 and 109,059.45

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Solution

The fourth proportional to 109,059.45, 152,838.75 and 109,059.45 is: 152,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,059.45 : 152,838.75 = 109,059.45 : x
  2. Step 2: Convert to fraction form
    109,059.45/152,838.75 = 109,059.45/x
  3. Step 3: Cross multiply
    109,059.45x = 152,838.75 × 109,059.45
  4. Step 4: Simplify right side
    109,059.45x = 16,668,510,013.69
  5. Step 5: Solve for x
    x = 16,668,510,013.69/109,059.45
  6. Step 6: Final answer
    x = 152,838.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.