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Finding the Fourth Proportional to 119,404.54, 164,779.34 and 64,957.90

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Solution

The fourth proportional to 119,404.54, 164,779.34 and 64,957.90 is: 89,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,404.54 : 164,779.34 = 64,957.90 : x
  2. Step 2: Convert to fraction form
    119,404.54/164,779.34 = 64,957.90/x
  3. Step 3: Cross multiply
    119,404.54x = 164,779.34 × 64,957.90
  4. Step 4: Simplify right side
    119,404.54x = 10,703,719,396.64
  5. Step 5: Solve for x
    x = 10,703,719,396.64/119,404.54
  6. Step 6: Final answer
    x = 89,642.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.