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Finding the Fourth Proportional to 164,836.96, 247,356.96 and 64,980.16

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Solution

The fourth proportional to 164,836.96, 247,356.96 and 64,980.16 is: 97,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,836.96 : 247,356.96 = 64,980.16 : x
  2. Step 2: Convert to fraction form
    164,836.96/247,356.96 = 64,980.16/x
  3. Step 3: Cross multiply
    164,836.96x = 247,356.96 × 64,980.16
  4. Step 4: Simplify right side
    164,836.96x = 16,073,294,837.91
  5. Step 5: Solve for x
    x = 16,073,294,837.91/164,836.96
  6. Step 6: Final answer
    x = 97,510.26

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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.