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Finding the Fourth Proportional to 164,047.40, 245,633.70 and 164,047.40

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Solution

The fourth proportional to 164,047.40, 245,633.70 and 164,047.40 is: 245,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,047.40 : 245,633.70 = 164,047.40 : x
  2. Step 2: Convert to fraction form
    164,047.40/245,633.70 = 164,047.40/x
  3. Step 3: Cross multiply
    164,047.40x = 245,633.70 × 164,047.40
  4. Step 4: Simplify right side
    164,047.40x = 40,295,569,837.38
  5. Step 5: Solve for x
    x = 40,295,569,837.38/164,047.40
  6. Step 6: Final answer
    x = 245,633.70

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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.