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Finding the Fourth Proportional to 227,906.10, 314,510.13 and 127,304.10

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Solution

The fourth proportional to 227,906.10, 314,510.13 and 127,304.10 is: 175,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,906.10 : 314,510.13 = 127,304.10 : x
  2. Step 2: Convert to fraction form
    227,906.10/314,510.13 = 127,304.10/x
  3. Step 3: Cross multiply
    227,906.10x = 314,510.13 × 127,304.10
  4. Step 4: Simplify right side
    227,906.10x = 40,038,429,040.53
  5. Step 5: Solve for x
    x = 40,038,429,040.53/227,906.10
  6. Step 6: Final answer
    x = 175,679.50

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1.5x scale

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.