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Finding the Fourth Proportional to 118,308.84, 177,411.06 and 44,385

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Solution

The fourth proportional to 118,308.84, 177,411.06 and 44,385 is: 66,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,308.84 : 177,411.06 = 44,385 : x
  2. Step 2: Convert to fraction form
    118,308.84/177,411.06 = 44,385/x
  3. Step 3: Cross multiply
    118,308.84x = 177,411.06 × 44,385
  4. Step 4: Simplify right side
    118,308.84x = 7,874,389,898.10
  5. Step 5: Solve for x
    x = 7,874,389,898.10/118,308.84
  6. Step 6: Final answer
    x = 66,557.92

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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.