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Finding the Fourth Proportional to 113,212, 169,842.54 and 34,332.16

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Solution

The fourth proportional to 113,212, 169,842.54 and 34,332.16 is: 51,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,212 : 169,842.54 = 34,332.16 : x
  2. Step 2: Convert to fraction form
    113,212/169,842.54 = 34,332.16/x
  3. Step 3: Cross multiply
    113,212x = 169,842.54 × 34,332.16
  4. Step 4: Simplify right side
    113,212x = 5,831,061,258.09
  5. Step 5: Solve for x
    x = 5,831,061,258.09/113,212
  6. Step 6: Final answer
    x = 51,505.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.