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Finding the Fourth Proportional to 269,287.80, 403,931.70 and 157,094.70

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Solution

The fourth proportional to 269,287.80, 403,931.70 and 157,094.70 is: 235,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,287.80 : 403,931.70 = 157,094.70 : x
  2. Step 2: Convert to fraction form
    269,287.80/403,931.70 = 157,094.70/x
  3. Step 3: Cross multiply
    269,287.80x = 403,931.70 × 157,094.70
  4. Step 4: Simplify right side
    269,287.80x = 63,455,529,231.99
  5. Step 5: Solve for x
    x = 63,455,529,231.99/269,287.80
  6. Step 6: Final answer
    x = 235,642.05

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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.