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Finding the Fourth Proportional to 239,903.46, 359,461.32 and 82,045.80

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Solution

The fourth proportional to 239,903.46, 359,461.32 and 82,045.80 is: 122,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,903.46 : 359,461.32 = 82,045.80 : x
  2. Step 2: Convert to fraction form
    239,903.46/359,461.32 = 82,045.80/x
  3. Step 3: Cross multiply
    239,903.46x = 359,461.32 × 82,045.80
  4. Step 4: Simplify right side
    239,903.46x = 29,492,291,568.46
  5. Step 5: Solve for x
    x = 29,492,291,568.46/239,903.46
  6. Step 6: Final answer
    x = 122,934.00

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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.