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Finding the Fourth Proportional to 227,862.74, 314,477.30 and 137,264.45

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Solution

The fourth proportional to 227,862.74, 314,477.30 and 137,264.45 is: 189,441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,862.74 : 314,477.30 = 137,264.45 : x
  2. Step 2: Convert to fraction form
    227,862.74/314,477.30 = 137,264.45/x
  3. Step 3: Cross multiply
    227,862.74x = 314,477.30 × 137,264.45
  4. Step 4: Simplify right side
    227,862.74x = 43,166,552,392.76
  5. Step 5: Solve for x
    x = 43,166,552,392.76/227,862.74
  6. Step 6: Final answer
    x = 189,441.03

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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.