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Finding the Fourth Proportional to 227,533, 314,058 and 132,070.45

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Solution

The fourth proportional to 227,533, 314,058 and 132,070.45 is: 182,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,533 : 314,058 = 132,070.45 : x
  2. Step 2: Convert to fraction form
    227,533/314,058 = 132,070.45/x
  3. Step 3: Cross multiply
    227,533x = 314,058 × 132,070.45
  4. Step 4: Simplify right side
    227,533x = 41,477,781,386.10
  5. Step 5: Solve for x
    x = 41,477,781,386.10/227,533
  6. Step 6: Final answer
    x = 182,293.48

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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.