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Finding the Fourth Proportional to 153,861, 230,830.44 and 47,250.24

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Solution

The fourth proportional to 153,861, 230,830.44 and 47,250.24 is: 70,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,861 : 230,830.44 = 47,250.24 : x
  2. Step 2: Convert to fraction form
    153,861/230,830.44 = 47,250.24/x
  3. Step 3: Cross multiply
    153,861x = 230,830.44 × 47,250.24
  4. Step 4: Simplify right side
    153,861x = 10,906,793,689.31
  5. Step 5: Solve for x
    x = 10,906,793,689.31/153,861
  6. Step 6: Final answer
    x = 70,887.32

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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.