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Finding the Fourth Proportional to 125,405.07, 188,020.11 and 46,498.11

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Solution

The fourth proportional to 125,405.07, 188,020.11 and 46,498.11 is: 69,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,405.07 : 188,020.11 = 46,498.11 : x
  2. Step 2: Convert to fraction form
    125,405.07/188,020.11 = 46,498.11/x
  3. Step 3: Cross multiply
    125,405.07x = 188,020.11 × 46,498.11
  4. Step 4: Simplify right side
    125,405.07x = 8,742,579,756.99
  5. Step 5: Solve for x
    x = 8,742,579,756.99/125,405.07
  6. Step 6: Final answer
    x = 69,714.72

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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.