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Finding the Fourth Proportional to 282,320.20, 423,026.70 and 149,026.60

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Solution

The fourth proportional to 282,320.20, 423,026.70 and 149,026.60 is: 223,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,320.20 : 423,026.70 = 149,026.60 : x
  2. Step 2: Convert to fraction form
    282,320.20/423,026.70 = 149,026.60/x
  3. Step 3: Cross multiply
    282,320.20x = 423,026.70 × 149,026.60
  4. Step 4: Simplify right side
    282,320.20x = 63,042,230,810.22
  5. Step 5: Solve for x
    x = 63,042,230,810.22/282,320.20
  6. Step 6: Final answer
    x = 223,300.46

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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.