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Finding the Fourth Proportional to 212,241, 318,363.66 and 64,497

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Solution

The fourth proportional to 212,241, 318,363.66 and 64,497 is: 96,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,241 : 318,363.66 = 64,497 : x
  2. Step 2: Convert to fraction form
    212,241/318,363.66 = 64,497/x
  3. Step 3: Cross multiply
    212,241x = 318,363.66 × 64,497
  4. Step 4: Simplify right side
    212,241x = 20,533,500,979.02
  5. Step 5: Solve for x
    x = 20,533,500,979.02/212,241
  6. Step 6: Final answer
    x = 96,746.16

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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.