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Finding the Fourth Proportional to 162,569.20, 227,752.40 and 162,569.20

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Solution

The fourth proportional to 162,569.20, 227,752.40 and 162,569.20 is: 227,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,569.20 : 227,752.40 = 162,569.20 : x
  2. Step 2: Convert to fraction form
    162,569.20/227,752.40 = 162,569.20/x
  3. Step 3: Cross multiply
    162,569.20x = 227,752.40 × 162,569.20
  4. Step 4: Simplify right side
    162,569.20x = 37,025,525,466.08
  5. Step 5: Solve for x
    x = 37,025,525,466.08/162,569.20
  6. Step 6: Final answer
    x = 227,752.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.