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Finding the Fourth Proportional to 161,751.60, 242,627.40 and 102,702.60

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Solution

The fourth proportional to 161,751.60, 242,627.40 and 102,702.60 is: 154,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,751.60 : 242,627.40 = 102,702.60 : x
  2. Step 2: Convert to fraction form
    161,751.60/242,627.40 = 102,702.60/x
  3. Step 3: Cross multiply
    161,751.60x = 242,627.40 × 102,702.60
  4. Step 4: Simplify right side
    161,751.60x = 24,918,464,811.24
  5. Step 5: Solve for x
    x = 24,918,464,811.24/161,751.60
  6. Step 6: Final answer
    x = 154,053.90

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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.