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Finding the Fourth Proportional to 346,673.52, 520,032.96 and 106,758

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Solution

The fourth proportional to 346,673.52, 520,032.96 and 106,758 is: 160,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,673.52 : 520,032.96 = 106,758 : x
  2. Step 2: Convert to fraction form
    346,673.52/520,032.96 = 106,758/x
  3. Step 3: Cross multiply
    346,673.52x = 520,032.96 × 106,758
  4. Step 4: Simplify right side
    346,673.52x = 55,517,678,743.68
  5. Step 5: Solve for x
    x = 55,517,678,743.68/346,673.52
  6. Step 6: Final answer
    x = 160,143.98

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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.