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Finding the Fourth Proportional to 356,274.48, 534,398.76 and 106,950

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Solution

The fourth proportional to 356,274.48, 534,398.76 and 106,950 is: 160,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,274.48 : 534,398.76 = 106,950 : x
  2. Step 2: Convert to fraction form
    356,274.48/534,398.76 = 106,950/x
  3. Step 3: Cross multiply
    356,274.48x = 534,398.76 × 106,950
  4. Step 4: Simplify right side
    356,274.48x = 57,153,947,382
  5. Step 5: Solve for x
    x = 57,153,947,382/356,274.48
  6. Step 6: Final answer
    x = 160,421.11

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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.