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Finding the Fourth Proportional to 164,834.96, 247,353.96 and 64,978.16

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Solution

The fourth proportional to 164,834.96, 247,353.96 and 64,978.16 is: 97,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,834.96 : 247,353.96 = 64,978.16 : x
  2. Step 2: Convert to fraction form
    164,834.96/247,353.96 = 64,978.16/x
  3. Step 3: Cross multiply
    164,834.96x = 247,353.96 × 64,978.16
  4. Step 4: Simplify right side
    164,834.96x = 16,072,605,189.51
  5. Step 5: Solve for x
    x = 16,072,605,189.51/164,834.96
  6. Step 6: Final answer
    x = 97,507.26

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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.