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Finding the Fourth Proportional to 119,085.60, 178,656 and 52,544.64

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Solution

The fourth proportional to 119,085.60, 178,656 and 52,544.64 is: 78,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,085.60 : 178,656 = 52,544.64 : x
  2. Step 2: Convert to fraction form
    119,085.60/178,656 = 52,544.64/x
  3. Step 3: Cross multiply
    119,085.60x = 178,656 × 52,544.64
  4. Step 4: Simplify right side
    119,085.60x = 9,387,415,203.84
  5. Step 5: Solve for x
    x = 9,387,415,203.84/119,085.60
  6. Step 6: Final answer
    x = 78,829.14

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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.