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Finding the Fourth Proportional to 306,032.90, 459,114.15 and 92,783.30

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Solution

The fourth proportional to 306,032.90, 459,114.15 and 92,783.30 is: 139,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,032.90 : 459,114.15 = 92,783.30 : x
  2. Step 2: Convert to fraction form
    306,032.90/459,114.15 = 92,783.30/x
  3. Step 3: Cross multiply
    306,032.90x = 459,114.15 × 92,783.30
  4. Step 4: Simplify right side
    306,032.90x = 42,598,125,913.70
  5. Step 5: Solve for x
    x = 42,598,125,913.70/306,032.90
  6. Step 6: Final answer
    x = 139,194.60

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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.