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Finding the Fourth Proportional to 164,867.16, 247,171.54 and 65,102.04

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Solution

The fourth proportional to 164,867.16, 247,171.54 and 65,102.04 is: 97,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,867.16 : 247,171.54 = 65,102.04 : x
  2. Step 2: Convert to fraction form
    164,867.16/247,171.54 = 65,102.04/x
  3. Step 3: Cross multiply
    164,867.16x = 247,171.54 × 65,102.04
  4. Step 4: Simplify right side
    164,867.16x = 16,091,371,483.94
  5. Step 5: Solve for x
    x = 16,091,371,483.94/164,867.16
  6. Step 6: Final answer
    x = 97,602.04

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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.