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Finding the Fourth Proportional to 228,140.36, 314,844 and 127,538.36

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Solution

The fourth proportional to 228,140.36, 314,844 and 127,538.36 is: 176,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,140.36 : 314,844 = 127,538.36 : x
  2. Step 2: Convert to fraction form
    228,140.36/314,844 = 127,538.36/x
  3. Step 3: Cross multiply
    228,140.36x = 314,844 × 127,538.36
  4. Step 4: Simplify right side
    228,140.36x = 40,154,687,415.84
  5. Step 5: Solve for x
    x = 40,154,687,415.84/228,140.36
  6. Step 6: Final answer
    x = 176,008.70

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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.