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Finding the Fourth Proportional to 227,493.18, 314,041.25 and 146,959.94

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Solution

The fourth proportional to 227,493.18, 314,041.25 and 146,959.94 is: 202,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,493.18 : 314,041.25 = 146,959.94 : x
  2. Step 2: Convert to fraction form
    227,493.18/314,041.25 = 146,959.94/x
  3. Step 3: Cross multiply
    227,493.18x = 314,041.25 × 146,959.94
  4. Step 4: Simplify right side
    227,493.18x = 46,151,483,257.53
  5. Step 5: Solve for x
    x = 46,151,483,257.53/227,493.18
  6. Step 6: Final answer
    x = 202,869.74

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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.