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Finding the Fourth Proportional to 153,300.40, 229,893.24 and 53,434.96

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Solution

The fourth proportional to 153,300.40, 229,893.24 and 53,434.96 is: 80,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,300.40 : 229,893.24 = 53,434.96 : x
  2. Step 2: Convert to fraction form
    153,300.40/229,893.24 = 53,434.96/x
  3. Step 3: Cross multiply
    153,300.40x = 229,893.24 × 53,434.96
  4. Step 4: Simplify right side
    153,300.40x = 12,284,336,083.67
  5. Step 5: Solve for x
    x = 12,284,336,083.67/153,300.40
  6. Step 6: Final answer
    x = 80,132.45

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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.