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Finding the Fourth Proportional to 227,698.76, 314,242.26 and 132,235.40

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Solution

The fourth proportional to 227,698.76, 314,242.26 and 132,235.40 is: 182,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,698.76 : 314,242.26 = 132,235.40 : x
  2. Step 2: Convert to fraction form
    227,698.76/314,242.26 = 132,235.40/x
  3. Step 3: Cross multiply
    227,698.76x = 314,242.26 × 132,235.40
  4. Step 4: Simplify right side
    227,698.76x = 41,553,950,948.00
  5. Step 5: Solve for x
    x = 41,553,950,948.00/227,698.76
  6. Step 6: Final answer
    x = 182,495.29

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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.