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Finding the Fourth Proportional to 175,410.72, 262,815.84 and 147,511.08

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Solution

The fourth proportional to 175,410.72, 262,815.84 and 147,511.08 is: 221,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,410.72 : 262,815.84 = 147,511.08 : x
  2. Step 2: Convert to fraction form
    175,410.72/262,815.84 = 147,511.08/x
  3. Step 3: Cross multiply
    175,410.72x = 262,815.84 × 147,511.08
  4. Step 4: Simplify right side
    175,410.72x = 38,768,248,399.51
  5. Step 5: Solve for x
    x = 38,768,248,399.51/175,410.72
  6. Step 6: Final answer
    x = 221,014.13

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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.