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Finding the Fourth Proportional to 157,810.50, 217,784.97 and 90,742.50

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Solution

The fourth proportional to 157,810.50, 217,784.97 and 90,742.50 is: 125,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,810.50 : 217,784.97 = 90,742.50 : x
  2. Step 2: Convert to fraction form
    157,810.50/217,784.97 = 90,742.50/x
  3. Step 3: Cross multiply
    157,810.50x = 217,784.97 × 90,742.50
  4. Step 4: Simplify right side
    157,810.50x = 19,762,352,640.23
  5. Step 5: Solve for x
    x = 19,762,352,640.23/157,810.50
  6. Step 6: Final answer
    x = 125,228.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.