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Finding the Fourth Proportional to 185,124.80, 277,622.40 and 96,348.80

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Solution

The fourth proportional to 185,124.80, 277,622.40 and 96,348.80 is: 144,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,124.80 : 277,622.40 = 96,348.80 : x
  2. Step 2: Convert to fraction form
    185,124.80/277,622.40 = 96,348.80/x
  3. Step 3: Cross multiply
    185,124.80x = 277,622.40 × 96,348.80
  4. Step 4: Simplify right side
    185,124.80x = 26,748,585,093.12
  5. Step 5: Solve for x
    x = 26,748,585,093.12/185,124.80
  6. Step 6: Final answer
    x = 144,489.47

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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.