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Finding the Fourth Proportional to 242,905.60, 364,293.60 and 85,117.60

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Solution

The fourth proportional to 242,905.60, 364,293.60 and 85,117.60 is: 127,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,905.60 : 364,293.60 = 85,117.60 : x
  2. Step 2: Convert to fraction form
    242,905.60/364,293.60 = 85,117.60/x
  3. Step 3: Cross multiply
    242,905.60x = 364,293.60 × 85,117.60
  4. Step 4: Simplify right side
    242,905.60x = 31,007,796,927.36
  5. Step 5: Solve for x
    x = 31,007,796,927.36/242,905.60
  6. Step 6: Final answer
    x = 127,653.69

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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.