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Finding the Fourth Proportional to 227,782.60, 314,332.50 and 127,178.44

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Solution

The fourth proportional to 227,782.60, 314,332.50 and 127,178.44 is: 175,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,782.60 : 314,332.50 = 127,178.44 : x
  2. Step 2: Convert to fraction form
    227,782.60/314,332.50 = 127,178.44/x
  3. Step 3: Cross multiply
    227,782.60x = 314,332.50 × 127,178.44
  4. Step 4: Simplify right side
    227,782.60x = 39,976,316,991.30
  5. Step 5: Solve for x
    x = 39,976,316,991.30/227,782.60
  6. Step 6: Final answer
    x = 175,502.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.