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Finding the Fourth Proportional to 162,821.60, 244,275.60 and 57,629.60

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Solution

The fourth proportional to 162,821.60, 244,275.60 and 57,629.60 is: 86,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,821.60 : 244,275.60 = 57,629.60 : x
  2. Step 2: Convert to fraction form
    162,821.60/244,275.60 = 57,629.60/x
  3. Step 3: Cross multiply
    162,821.60x = 244,275.60 × 57,629.60
  4. Step 4: Simplify right side
    162,821.60x = 14,077,505,117.76
  5. Step 5: Solve for x
    x = 14,077,505,117.76/162,821.60
  6. Step 6: Final answer
    x = 86,459.69

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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.