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Finding the Fourth Proportional to 265,541.40, 397,925.72 and 164,122.92

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Solution

The fourth proportional to 265,541.40, 397,925.72 and 164,122.92 is: 245,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,541.40 : 397,925.72 = 164,122.92 : x
  2. Step 2: Convert to fraction form
    265,541.40/397,925.72 = 164,122.92/x
  3. Step 3: Cross multiply
    265,541.40x = 397,925.72 × 164,122.92
  4. Step 4: Simplify right side
    265,541.40x = 65,308,731,109.50
  5. Step 5: Solve for x
    x = 65,308,731,109.50/265,541.40
  6. Step 6: Final answer
    x = 245,945.57

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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.