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Finding the Fourth Proportional to 169,461, 254,191.50 and 58,653

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Solution

The fourth proportional to 169,461, 254,191.50 and 58,653 is: 87,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,461 : 254,191.50 = 58,653 : x
  2. Step 2: Convert to fraction form
    169,461/254,191.50 = 58,653/x
  3. Step 3: Cross multiply
    169,461x = 254,191.50 × 58,653
  4. Step 4: Simplify right side
    169,461x = 14,909,094,049.50
  5. Step 5: Solve for x
    x = 14,909,094,049.50/169,461
  6. Step 6: Final answer
    x = 87,979.50

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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.