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Finding the Fourth Proportional to 282,410.72, 423,698.08 and 113,844.06

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Solution

The fourth proportional to 282,410.72, 423,698.08 and 113,844.06 is: 170,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,410.72 : 423,698.08 = 113,844.06 : x
  2. Step 2: Convert to fraction form
    282,410.72/423,698.08 = 113,844.06/x
  3. Step 3: Cross multiply
    282,410.72x = 423,698.08 × 113,844.06
  4. Step 4: Simplify right side
    282,410.72x = 48,235,509,641.40
  5. Step 5: Solve for x
    x = 48,235,509,641.40/282,410.72
  6. Step 6: Final answer
    x = 170,799.15

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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.