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Finding the Fourth Proportional to 242,298.82, 363,448.14 and 64,801.22

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Solution

The fourth proportional to 242,298.82, 363,448.14 and 64,801.22 is: 97,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,298.82 : 363,448.14 = 64,801.22 : x
  2. Step 2: Convert to fraction form
    242,298.82/363,448.14 = 64,801.22/x
  3. Step 3: Cross multiply
    242,298.82x = 363,448.14 × 64,801.22
  4. Step 4: Simplify right side
    242,298.82x = 23,551,881,061.49
  5. Step 5: Solve for x
    x = 23,551,881,061.49/242,298.82
  6. Step 6: Final answer
    x = 97,201.80

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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.