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Finding the Fourth Proportional to 153,759.90, 230,631.64 and 41,438.30

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Solution

The fourth proportional to 153,759.90, 230,631.64 and 41,438.30 is: 62,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,759.90 : 230,631.64 = 41,438.30 : x
  2. Step 2: Convert to fraction form
    153,759.90/230,631.64 = 41,438.30/x
  3. Step 3: Cross multiply
    153,759.90x = 230,631.64 × 41,438.30
  4. Step 4: Simplify right side
    153,759.90x = 9,556,983,087.81
  5. Step 5: Solve for x
    x = 9,556,983,087.81/153,759.90
  6. Step 6: Final answer
    x = 62,155.24

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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.