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Finding the Fourth Proportional to 111,840.94, 167,802.59 and 51,898.11

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Solution

The fourth proportional to 111,840.94, 167,802.59 and 51,898.11 is: 77,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,840.94 : 167,802.59 = 51,898.11 : x
  2. Step 2: Convert to fraction form
    111,840.94/167,802.59 = 51,898.11/x
  3. Step 3: Cross multiply
    111,840.94x = 167,802.59 × 51,898.11
  4. Step 4: Simplify right side
    111,840.94x = 8,708,637,274.10
  5. Step 5: Solve for x
    x = 8,708,637,274.10/111,840.94
  6. Step 6: Final answer
    x = 77,866.27

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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.