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Finding the Fourth Proportional to 282,482.16, 423,788.40 and 82,817.92

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Solution

The fourth proportional to 282,482.16, 423,788.40 and 82,817.92 is: 124,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,482.16 : 423,788.40 = 82,817.92 : x
  2. Step 2: Convert to fraction form
    282,482.16/423,788.40 = 82,817.92/x
  3. Step 3: Cross multiply
    282,482.16x = 423,788.40 × 82,817.92
  4. Step 4: Simplify right side
    282,482.16x = 35,097,273,808.13
  5. Step 5: Solve for x
    x = 35,097,273,808.13/282,482.16
  6. Step 6: Final answer
    x = 124,245.98

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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.