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Finding the Fourth Proportional to 242,339, 363,480.66 and 64,859.86

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Solution

The fourth proportional to 242,339, 363,480.66 and 64,859.86 is: 97,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,339 : 363,480.66 = 64,859.86 : x
  2. Step 2: Convert to fraction form
    242,339/363,480.66 = 64,859.86/x
  3. Step 3: Cross multiply
    242,339x = 363,480.66 × 64,859.86
  4. Step 4: Simplify right side
    242,339x = 23,575,304,720.31
  5. Step 5: Solve for x
    x = 23,575,304,720.31/242,339
  6. Step 6: Final answer
    x = 97,282.34

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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.