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Finding the Fourth Proportional to 182,678.60, 274,056.24 and 77,495.24

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Solution

The fourth proportional to 182,678.60, 274,056.24 and 77,495.24 is: 116,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,678.60 : 274,056.24 = 77,495.24 : x
  2. Step 2: Convert to fraction form
    182,678.60/274,056.24 = 77,495.24/x
  3. Step 3: Cross multiply
    182,678.60x = 274,056.24 × 77,495.24
  4. Step 4: Simplify right side
    182,678.60x = 21,238,054,092.30
  5. Step 5: Solve for x
    x = 21,238,054,092.30/182,678.60
  6. Step 6: Final answer
    x = 116,259.12

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1.5x scale

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.