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Finding the Fourth Proportional to 153,435.79, 230,148.25 and 46,815.44

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Solution

The fourth proportional to 153,435.79, 230,148.25 and 46,815.44 is: 70,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,435.79 : 230,148.25 = 46,815.44 : x
  2. Step 2: Convert to fraction form
    153,435.79/230,148.25 = 46,815.44/x
  3. Step 3: Cross multiply
    153,435.79x = 230,148.25 × 46,815.44
  4. Step 4: Simplify right side
    153,435.79x = 10,774,491,588.98
  5. Step 5: Solve for x
    x = 10,774,491,588.98/153,435.79
  6. Step 6: Final answer
    x = 70,221.50

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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.