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Finding the Fourth Proportional to 259,021.70, 357,355.13 and 156,973.54

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Solution

The fourth proportional to 259,021.70, 357,355.13 and 156,973.54 is: 216,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,021.70 : 357,355.13 = 156,973.54 : x
  2. Step 2: Convert to fraction form
    259,021.70/357,355.13 = 156,973.54/x
  3. Step 3: Cross multiply
    259,021.70x = 357,355.13 × 156,973.54
  4. Step 4: Simplify right side
    259,021.70x = 56,095,299,793.26
  5. Step 5: Solve for x
    x = 56,095,299,793.26/259,021.70
  6. Step 6: Final answer
    x = 216,566.02

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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.