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Finding the Fourth Proportional to 172,577.70, 258,570.90 and 137,148.30

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Solution

The fourth proportional to 172,577.70, 258,570.90 and 137,148.30 is: 205,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,577.70 : 258,570.90 = 137,148.30 : x
  2. Step 2: Convert to fraction form
    172,577.70/258,570.90 = 137,148.30/x
  3. Step 3: Cross multiply
    172,577.70x = 258,570.90 × 137,148.30
  4. Step 4: Simplify right side
    172,577.70x = 35,462,559,364.47
  5. Step 5: Solve for x
    x = 35,462,559,364.47/172,577.70
  6. Step 6: Final answer
    x = 205,487.50

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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.