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Finding the Fourth Proportional to 242,693.06, 364,014.98 and 65,177.00

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Solution

The fourth proportional to 242,693.06, 364,014.98 and 65,177.00 is: 97,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,693.06 : 364,014.98 = 65,177.00 : x
  2. Step 2: Convert to fraction form
    242,693.06/364,014.98 = 65,177.00/x
  3. Step 3: Cross multiply
    242,693.06x = 364,014.98 × 65,177.00
  4. Step 4: Simplify right side
    242,693.06x = 23,725,405,424.44
  5. Step 5: Solve for x
    x = 23,725,405,424.44/242,693.06
  6. Step 6: Final answer
    x = 97,758.90

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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.