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Finding the Fourth Proportional to 269,195.70, 403,307.55 and 156,783.90

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Solution

The fourth proportional to 269,195.70, 403,307.55 and 156,783.90 is: 234,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,195.70 : 403,307.55 = 156,783.90 : x
  2. Step 2: Convert to fraction form
    269,195.70/403,307.55 = 156,783.90/x
  3. Step 3: Cross multiply
    269,195.70x = 403,307.55 × 156,783.90
  4. Step 4: Simplify right side
    269,195.70x = 63,232,130,588.45
  5. Step 5: Solve for x
    x = 63,232,130,588.45/269,195.70
  6. Step 6: Final answer
    x = 234,892.80

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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.