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Finding the Fourth Proportional to 282,807.59, 423,972.18 and 122,763.24

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Solution

The fourth proportional to 282,807.59, 423,972.18 and 122,763.24 is: 184,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,807.59 : 423,972.18 = 122,763.24 : x
  2. Step 2: Convert to fraction form
    282,807.59/423,972.18 = 122,763.24/x
  3. Step 3: Cross multiply
    282,807.59x = 423,972.18 × 122,763.24
  4. Step 4: Simplify right side
    282,807.59x = 52,048,198,486.66
  5. Step 5: Solve for x
    x = 52,048,198,486.66/282,807.59
  6. Step 6: Final answer
    x = 184,041.03

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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.