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Finding the Fourth Proportional to 242,599.19, 363,848.67 and 65,064

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Solution

The fourth proportional to 242,599.19, 363,848.67 and 65,064 is: 97,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,599.19 : 363,848.67 = 65,064 : x
  2. Step 2: Convert to fraction form
    242,599.19/363,848.67 = 65,064/x
  3. Step 3: Cross multiply
    242,599.19x = 363,848.67 × 65,064
  4. Step 4: Simplify right side
    242,599.19x = 23,673,449,864.88
  5. Step 5: Solve for x
    x = 23,673,449,864.88/242,599.19
  6. Step 6: Final answer
    x = 97,582.56

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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.