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Finding the Fourth Proportional to 164,585.10, 246,939.13 and 64,814.84

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Solution

The fourth proportional to 164,585.10, 246,939.13 and 64,814.84 is: 97,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,585.10 : 246,939.13 = 64,814.84 : x
  2. Step 2: Convert to fraction form
    164,585.10/246,939.13 = 64,814.84/x
  3. Step 3: Cross multiply
    164,585.10x = 246,939.13 × 64,814.84
  4. Step 4: Simplify right side
    164,585.10x = 16,005,319,047.01
  5. Step 5: Solve for x
    x = 16,005,319,047.01/164,585.10
  6. Step 6: Final answer
    x = 97,246.46

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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.