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Finding the Fourth Proportional to 218,227.72, 301,109.10 and 127,566.16

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Solution

The fourth proportional to 218,227.72, 301,109.10 and 127,566.16 is: 176,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,227.72 : 301,109.10 = 127,566.16 : x
  2. Step 2: Convert to fraction form
    218,227.72/301,109.10 = 127,566.16/x
  3. Step 3: Cross multiply
    218,227.72x = 301,109.10 × 127,566.16
  4. Step 4: Simplify right side
    218,227.72x = 38,411,331,628.06
  5. Step 5: Solve for x
    x = 38,411,331,628.06/218,227.72
  6. Step 6: Final answer
    x = 176,014.91

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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.