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Finding the Fourth Proportional to 277,506.76, 416,004.98 and 99,970.35

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Solution

The fourth proportional to 277,506.76, 416,004.98 and 99,970.35 is: 149,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,506.76 : 416,004.98 = 99,970.35 : x
  2. Step 2: Convert to fraction form
    277,506.76/416,004.98 = 99,970.35/x
  3. Step 3: Cross multiply
    277,506.76x = 416,004.98 × 99,970.35
  4. Step 4: Simplify right side
    277,506.76x = 41,588,163,452.34
  5. Step 5: Solve for x
    x = 41,588,163,452.34/277,506.76
  6. Step 6: Final answer
    x = 149,863.60

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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.