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Finding the Fourth Proportional to 242,506.86, 363,711.09 and 64,972.35

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Solution

The fourth proportional to 242,506.86, 363,711.09 and 64,972.35 is: 97,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,506.86 : 363,711.09 = 64,972.35 : x
  2. Step 2: Convert to fraction form
    242,506.86/363,711.09 = 64,972.35/x
  3. Step 3: Cross multiply
    242,506.86x = 363,711.09 × 64,972.35
  4. Step 4: Simplify right side
    242,506.86x = 23,631,164,956.74
  5. Step 5: Solve for x
    x = 23,631,164,956.74/242,506.86
  6. Step 6: Final answer
    x = 97,445.35

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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.