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Finding the Fourth Proportional to 224,528, 336,935.40 and 106,206.32

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Solution

The fourth proportional to 224,528, 336,935.40 and 106,206.32 is: 159,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,528 : 336,935.40 = 106,206.32 : x
  2. Step 2: Convert to fraction form
    224,528/336,935.40 = 106,206.32/x
  3. Step 3: Cross multiply
    224,528x = 336,935.40 × 106,206.32
  4. Step 4: Simplify right side
    224,528x = 35,784,668,911.73
  5. Step 5: Solve for x
    x = 35,784,668,911.73/224,528
  6. Step 6: Final answer
    x = 159,377.31

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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.