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Finding the Fourth Proportional to 242,564.84, 363,821.82 and 65,090.04

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Solution

The fourth proportional to 242,564.84, 363,821.82 and 65,090.04 is: 97,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,564.84 : 363,821.82 = 65,090.04 : x
  2. Step 2: Convert to fraction form
    242,564.84/363,821.82 = 65,090.04/x
  3. Step 3: Cross multiply
    242,564.84x = 363,821.82 × 65,090.04
  4. Step 4: Simplify right side
    242,564.84x = 23,681,176,816.67
  5. Step 5: Solve for x
    x = 23,681,176,816.67/242,564.84
  6. Step 6: Final answer
    x = 97,628.23

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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.