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Finding the Fourth Proportional to 227,647.13, 314,154.25 and 127,045.13

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Solution

The fourth proportional to 227,647.13, 314,154.25 and 127,045.13 is: 175,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,647.13 : 314,154.25 = 127,045.13 : x
  2. Step 2: Convert to fraction form
    227,647.13/314,154.25 = 127,045.13/x
  3. Step 3: Cross multiply
    227,647.13x = 314,154.25 × 127,045.13
  4. Step 4: Simplify right side
    227,647.13x = 39,911,765,642.92
  5. Step 5: Solve for x
    x = 39,911,765,642.92/227,647.13
  6. Step 6: Final answer
    x = 175,322.95

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