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Finding the Fourth Proportional to 141,497, 212,246.94 and 43,001

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Solution

The fourth proportional to 141,497, 212,246.94 and 43,001 is: 64,501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,497 : 212,246.94 = 43,001 : x
  2. Step 2: Convert to fraction form
    141,497/212,246.94 = 43,001/x
  3. Step 3: Cross multiply
    141,497x = 212,246.94 × 43,001
  4. Step 4: Simplify right side
    141,497x = 9,126,830,666.94
  5. Step 5: Solve for x
    x = 9,126,830,666.94/141,497
  6. Step 6: Final answer
    x = 64,501.94

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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.