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Finding the Fourth Proportional to 111,344.34, 153,664.86 and 61,053.06

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Solution

The fourth proportional to 111,344.34, 153,664.86 and 61,053.06 is: 84,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,344.34 : 153,664.86 = 61,053.06 : x
  2. Step 2: Convert to fraction form
    111,344.34/153,664.86 = 61,053.06/x
  3. Step 3: Cross multiply
    111,344.34x = 153,664.86 × 61,053.06
  4. Step 4: Simplify right side
    111,344.34x = 9,381,709,917.47
  5. Step 5: Solve for x
    x = 9,381,709,917.47/111,344.34
  6. Step 6: Final answer
    x = 84,258.53

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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.