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Finding the Fourth Proportional to 228,061.30, 314,719.41 and 127,459.30

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Solution

The fourth proportional to 228,061.30, 314,719.41 and 127,459.30 is: 175,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,061.30 : 314,719.41 = 127,459.30 : x
  2. Step 2: Convert to fraction form
    228,061.30/314,719.41 = 127,459.30/x
  3. Step 3: Cross multiply
    228,061.30x = 314,719.41 × 127,459.30
  4. Step 4: Simplify right side
    228,061.30x = 40,113,915,695.01
  5. Step 5: Solve for x
    x = 40,113,915,695.01/228,061.30
  6. Step 6: Final answer
    x = 175,890.94

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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.