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Finding the Fourth Proportional to 242,089.17, 363,133.79 and 64,596.84

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Solution

The fourth proportional to 242,089.17, 363,133.79 and 64,596.84 is: 96,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,089.17 : 363,133.79 = 64,596.84 : x
  2. Step 2: Convert to fraction form
    242,089.17/363,133.79 = 64,596.84/x
  3. Step 3: Cross multiply
    242,089.17x = 363,133.79 × 64,596.84
  4. Step 4: Simplify right side
    242,089.17x = 23,457,295,331.22
  5. Step 5: Solve for x
    x = 23,457,295,331.22/242,089.17
  6. Step 6: Final answer
    x = 96,895.27

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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.