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Finding the Fourth Proportional to 227,931.40, 341,897.10 and 101,571.40

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Solution

The fourth proportional to 227,931.40, 341,897.10 and 101,571.40 is: 152,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,931.40 : 341,897.10 = 101,571.40 : x
  2. Step 2: Convert to fraction form
    227,931.40/341,897.10 = 101,571.40/x
  3. Step 3: Cross multiply
    227,931.40x = 341,897.10 × 101,571.40
  4. Step 4: Simplify right side
    227,931.40x = 34,726,967,102.94
  5. Step 5: Solve for x
    x = 34,726,967,102.94/227,931.40
  6. Step 6: Final answer
    x = 152,357.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.