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Finding the Fourth Proportional to 141,169, 211,753.50 and 42,673

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Solution

The fourth proportional to 141,169, 211,753.50 and 42,673 is: 64,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,169 : 211,753.50 = 42,673 : x
  2. Step 2: Convert to fraction form
    141,169/211,753.50 = 42,673/x
  3. Step 3: Cross multiply
    141,169x = 211,753.50 × 42,673
  4. Step 4: Simplify right side
    141,169x = 9,036,157,105.50
  5. Step 5: Solve for x
    x = 9,036,157,105.50/141,169
  6. Step 6: Final answer
    x = 64,009.50

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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.