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Finding the Fourth Proportional to 282,200.30, 423,300.45 and 113,801.30

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Solution

The fourth proportional to 282,200.30, 423,300.45 and 113,801.30 is: 170,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,200.30 : 423,300.45 = 113,801.30 : x
  2. Step 2: Convert to fraction form
    282,200.30/423,300.45 = 113,801.30/x
  3. Step 3: Cross multiply
    282,200.30x = 423,300.45 × 113,801.30
  4. Step 4: Simplify right side
    282,200.30x = 48,172,141,500.59
  5. Step 5: Solve for x
    x = 48,172,141,500.59/282,200.30
  6. Step 6: Final answer
    x = 170,701.95

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1.5x scale

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.