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Finding the Fourth Proportional to 114,675.76, 171,702.60 and 100,506.16

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Solution

The fourth proportional to 114,675.76, 171,702.60 and 100,506.16 is: 150,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,675.76 : 171,702.60 = 100,506.16 : x
  2. Step 2: Convert to fraction form
    114,675.76/171,702.60 = 100,506.16/x
  3. Step 3: Cross multiply
    114,675.76x = 171,702.60 × 100,506.16
  4. Step 4: Simplify right side
    114,675.76x = 17,257,168,988.02
  5. Step 5: Solve for x
    x = 17,257,168,988.02/114,675.76
  6. Step 6: Final answer
    x = 150,486.63

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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.