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Finding the Fourth Proportional to 137,521.65, 205,341.63 and 123,197.70

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Solution

The fourth proportional to 137,521.65, 205,341.63 and 123,197.70 is: 183,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,521.65 : 205,341.63 = 123,197.70 : x
  2. Step 2: Convert to fraction form
    137,521.65/205,341.63 = 123,197.70/x
  3. Step 3: Cross multiply
    137,521.65x = 205,341.63 × 123,197.70
  4. Step 4: Simplify right side
    137,521.65x = 25,297,616,530.25
  5. Step 5: Solve for x
    x = 25,297,616,530.25/137,521.65
  6. Step 6: Final answer
    x = 183,953.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.