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Finding the Fourth Proportional to 185,137.53, 255,298.68 and 158,368.65

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Solution

The fourth proportional to 185,137.53, 255,298.68 and 158,368.65 is: 218,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,137.53 : 255,298.68 = 158,368.65 : x
  2. Step 2: Convert to fraction form
    185,137.53/255,298.68 = 158,368.65/x
  3. Step 3: Cross multiply
    185,137.53x = 255,298.68 × 158,368.65
  4. Step 4: Simplify right side
    185,137.53x = 40,431,307,298.38
  5. Step 5: Solve for x
    x = 40,431,307,298.38/185,137.53
  6. Step 6: Final answer
    x = 218,385.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.