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Finding the Fourth Proportional to 233,077.95, 349,529.04 and 75,264.03

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Solution

The fourth proportional to 233,077.95, 349,529.04 and 75,264.03 is: 112,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,077.95 : 349,529.04 = 75,264.03 : x
  2. Step 2: Convert to fraction form
    233,077.95/349,529.04 = 75,264.03/x
  3. Step 3: Cross multiply
    233,077.95x = 349,529.04 × 75,264.03
  4. Step 4: Simplify right side
    233,077.95x = 26,306,964,152.43
  5. Step 5: Solve for x
    x = 26,306,964,152.43/233,077.95
  6. Step 6: Final answer
    x = 112,867.67

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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.