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Finding the Fourth Proportional to 157,091.90, 219,462.10 and 157,091.90

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Solution

The fourth proportional to 157,091.90, 219,462.10 and 157,091.90 is: 219,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,091.90 : 219,462.10 = 157,091.90 : x
  2. Step 2: Convert to fraction form
    157,091.90/219,462.10 = 157,091.90/x
  3. Step 3: Cross multiply
    157,091.90x = 219,462.10 × 157,091.90
  4. Step 4: Simplify right side
    157,091.90x = 34,475,718,266.99
  5. Step 5: Solve for x
    x = 34,475,718,266.99/157,091.90
  6. Step 6: Final answer
    x = 219,462.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.