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Finding the Fourth Proportional to 306,050.60, 458,857.20 and 137,432.90

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Solution

The fourth proportional to 306,050.60, 458,857.20 and 137,432.90 is: 206,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,050.60 : 458,857.20 = 137,432.90 : x
  2. Step 2: Convert to fraction form
    306,050.60/458,857.20 = 137,432.90/x
  3. Step 3: Cross multiply
    306,050.60x = 458,857.20 × 137,432.90
  4. Step 4: Simplify right side
    306,050.60x = 63,062,075,681.88
  5. Step 5: Solve for x
    x = 63,062,075,681.88/306,050.60
  6. Step 6: Final answer
    x = 206,051.14

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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.