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Finding the Fourth Proportional to 242,658.06, 364,038.93 and 84,891.66

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Solution

The fourth proportional to 242,658.06, 364,038.93 and 84,891.66 is: 127,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,658.06 : 364,038.93 = 84,891.66 : x
  2. Step 2: Convert to fraction form
    242,658.06/364,038.93 = 84,891.66/x
  3. Step 3: Cross multiply
    242,658.06x = 364,038.93 × 84,891.66
  4. Step 4: Simplify right side
    242,658.06x = 30,903,869,072.32
  5. Step 5: Solve for x
    x = 30,903,869,072.32/242,658.06
  6. Step 6: Final answer
    x = 127,355.63

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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.