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Finding the Fourth Proportional to 137,178.36, 205,792.11 and 48,483.36

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Solution

The fourth proportional to 137,178.36, 205,792.11 and 48,483.36 is: 72,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,178.36 : 205,792.11 = 48,483.36 : x
  2. Step 2: Convert to fraction form
    137,178.36/205,792.11 = 48,483.36/x
  3. Step 3: Cross multiply
    137,178.36x = 205,792.11 × 48,483.36
  4. Step 4: Simplify right side
    137,178.36x = 9,977,492,954.29
  5. Step 5: Solve for x
    x = 9,977,492,954.29/137,178.36
  6. Step 6: Final answer
    x = 72,733.72

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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.