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Finding the Fourth Proportional to 169,465, 254,197.50 and 58,657

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Solution

The fourth proportional to 169,465, 254,197.50 and 58,657 is: 87,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,465 : 254,197.50 = 58,657 : x
  2. Step 2: Convert to fraction form
    169,465/254,197.50 = 58,657/x
  3. Step 3: Cross multiply
    169,465x = 254,197.50 × 58,657
  4. Step 4: Simplify right side
    169,465x = 14,910,462,757.50
  5. Step 5: Solve for x
    x = 14,910,462,757.50/169,465
  6. Step 6: Final answer
    x = 87,985.50

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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.