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Finding the Fourth Proportional to 242,702.06, 364,019.06 and 102,427.88

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Solution

The fourth proportional to 242,702.06, 364,019.06 and 102,427.88 is: 153,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,702.06 : 364,019.06 = 102,427.88 : x
  2. Step 2: Convert to fraction form
    242,702.06/364,019.06 = 102,427.88/x
  3. Step 3: Cross multiply
    242,702.06x = 364,019.06 × 102,427.88
  4. Step 4: Simplify right side
    242,702.06x = 37,285,699,031.37
  5. Step 5: Solve for x
    x = 37,285,699,031.37/242,702.06
  6. Step 6: Final answer
    x = 153,627.45

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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.