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Finding the Fourth Proportional to 134,671, 202,006.50 and 51,565

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Solution

The fourth proportional to 134,671, 202,006.50 and 51,565 is: 77,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,671 : 202,006.50 = 51,565 : x
  2. Step 2: Convert to fraction form
    134,671/202,006.50 = 51,565/x
  3. Step 3: Cross multiply
    134,671x = 202,006.50 × 51,565
  4. Step 4: Simplify right side
    134,671x = 10,416,465,172.50
  5. Step 5: Solve for x
    x = 10,416,465,172.50/134,671
  6. Step 6: Final answer
    x = 77,347.50

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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.