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Finding the Fourth Proportional to 92,201.64, 127,266.47 and 53,970.13

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Solution

The fourth proportional to 92,201.64, 127,266.47 and 53,970.13 is: 74,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,201.64 : 127,266.47 = 53,970.13 : x
  2. Step 2: Convert to fraction form
    92,201.64/127,266.47 = 53,970.13/x
  3. Step 3: Cross multiply
    92,201.64x = 127,266.47 × 53,970.13
  4. Step 4: Simplify right side
    92,201.64x = 6,868,587,930.54
  5. Step 5: Solve for x
    x = 6,868,587,930.54/92,201.64
  6. Step 6: Final answer
    x = 74,495.29

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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.