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Finding the Fourth Proportional to 119,175.60, 178,710.60 and 40,268.40

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Solution

The fourth proportional to 119,175.60, 178,710.60 and 40,268.40 is: 60,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,175.60 : 178,710.60 = 40,268.40 : x
  2. Step 2: Convert to fraction form
    119,175.60/178,710.60 = 40,268.40/x
  3. Step 3: Cross multiply
    119,175.60x = 178,710.60 × 40,268.40
  4. Step 4: Simplify right side
    119,175.60x = 7,196,389,925.04
  5. Step 5: Solve for x
    x = 7,196,389,925.04/119,175.60
  6. Step 6: Final answer
    x = 60,384.76

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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.