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Finding the Fourth Proportional to 282,047.89, 389,223.82 and 152,986.04

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Solution

The fourth proportional to 282,047.89, 389,223.82 and 152,986.04 is: 211,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,047.89 : 389,223.82 = 152,986.04 : x
  2. Step 2: Convert to fraction form
    282,047.89/389,223.82 = 152,986.04/x
  3. Step 3: Cross multiply
    282,047.89x = 389,223.82 × 152,986.04
  4. Step 4: Simplify right side
    282,047.89x = 59,545,808,949.35
  5. Step 5: Solve for x
    x = 59,545,808,949.35/282,047.89
  6. Step 6: Final answer
    x = 211,119.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.