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Finding the Fourth Proportional to 233,993, 351,026.04 and 76,184.30

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Solution

The fourth proportional to 233,993, 351,026.04 and 76,184.30 is: 114,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,993 : 351,026.04 = 76,184.30 : x
  2. Step 2: Convert to fraction form
    233,993/351,026.04 = 76,184.30/x
  3. Step 3: Cross multiply
    233,993x = 351,026.04 × 76,184.30
  4. Step 4: Simplify right side
    233,993x = 26,742,673,139.17
  5. Step 5: Solve for x
    x = 26,742,673,139.17/233,993
  6. Step 6: Final answer
    x = 114,288.35

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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.