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Finding the Fourth Proportional to 228,025, 314,674.50 and 127,423

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Solution

The fourth proportional to 228,025, 314,674.50 and 127,423 is: 175,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,025 : 314,674.50 = 127,423 : x
  2. Step 2: Convert to fraction form
    228,025/314,674.50 = 127,423/x
  3. Step 3: Cross multiply
    228,025x = 314,674.50 × 127,423
  4. Step 4: Simplify right side
    228,025x = 40,096,768,813.50
  5. Step 5: Solve for x
    x = 40,096,768,813.50/228,025
  6. Step 6: Final answer
    x = 175,843.74

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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.