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Finding the Fourth Proportional to 282,157.64, 423,228.25 and 82,482.71

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Solution

The fourth proportional to 282,157.64, 423,228.25 and 82,482.71 is: 123,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,157.64 : 423,228.25 = 82,482.71 : x
  2. Step 2: Convert to fraction form
    282,157.64/423,228.25 = 82,482.71/x
  3. Step 3: Cross multiply
    282,157.64x = 423,228.25 × 82,482.71
  4. Step 4: Simplify right side
    282,157.64x = 34,909,013,860.42
  5. Step 5: Solve for x
    x = 34,909,013,860.42/282,157.64
  6. Step 6: Final answer
    x = 123,721.67

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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.