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Finding the Fourth Proportional to 282,551.82, 423,123 and 197,914.92

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Solution

The fourth proportional to 282,551.82, 423,123 and 197,914.92 is: 296,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,551.82 : 423,123 = 197,914.92 : x
  2. Step 2: Convert to fraction form
    282,551.82/423,123 = 197,914.92/x
  3. Step 3: Cross multiply
    282,551.82x = 423,123 × 197,914.92
  4. Step 4: Simplify right side
    282,551.82x = 83,742,354,695.16
  5. Step 5: Solve for x
    x = 83,742,354,695.16/282,551.82
  6. Step 6: Final answer
    x = 296,378.75

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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.