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Finding the Fourth Proportional to 156,697.40, 235,046.10 and 45,889.40

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Solution

The fourth proportional to 156,697.40, 235,046.10 and 45,889.40 is: 68,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,697.40 : 235,046.10 = 45,889.40 : x
  2. Step 2: Convert to fraction form
    156,697.40/235,046.10 = 45,889.40/x
  3. Step 3: Cross multiply
    156,697.40x = 235,046.10 × 45,889.40
  4. Step 4: Simplify right side
    156,697.40x = 10,786,124,501.34
  5. Step 5: Solve for x
    x = 10,786,124,501.34/156,697.40
  6. Step 6: Final answer
    x = 68,834.10

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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.