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Finding the Fourth Proportional to 233,320.40, 349,750.20 and 114,894.80

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Solution

The fourth proportional to 233,320.40, 349,750.20 and 114,894.80 is: 172,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,320.40 : 349,750.20 = 114,894.80 : x
  2. Step 2: Convert to fraction form
    233,320.40/349,750.20 = 114,894.80/x
  3. Step 3: Cross multiply
    233,320.40x = 349,750.20 × 114,894.80
  4. Step 4: Simplify right side
    233,320.40x = 40,184,479,278.96
  5. Step 5: Solve for x
    x = 40,184,479,278.96/233,320.40
  6. Step 6: Final answer
    x = 172,228.74

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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.