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Finding the Fourth Proportional to 233,342.40, 349,783.20 and 114,916.80

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Solution

The fourth proportional to 233,342.40, 349,783.20 and 114,916.80 is: 172,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,342.40 : 349,783.20 = 114,916.80 : x
  2. Step 2: Convert to fraction form
    233,342.40/349,783.20 = 114,916.80/x
  3. Step 3: Cross multiply
    233,342.40x = 349,783.20 × 114,916.80
  4. Step 4: Simplify right side
    233,342.40x = 40,195,966,037.76
  5. Step 5: Solve for x
    x = 40,195,966,037.76/233,342.40
  6. Step 6: Final answer
    x = 172,261.73

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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.