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Finding the Fourth Proportional to 242,214.90, 363,355.84 and 64,727.70

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Solution

The fourth proportional to 242,214.90, 363,355.84 and 64,727.70 is: 97,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,214.90 : 363,355.84 = 64,727.70 : x
  2. Step 2: Convert to fraction form
    242,214.90/363,355.84 = 64,727.70/x
  3. Step 3: Cross multiply
    242,214.90x = 363,355.84 × 64,727.70
  4. Step 4: Simplify right side
    242,214.90x = 23,519,187,804.77
  5. Step 5: Solve for x
    x = 23,519,187,804.77/242,214.90
  6. Step 6: Final answer
    x = 97,100.50

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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.