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Finding the Fourth Proportional to 153,652, 230,516.88 and 42,844

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Solution

The fourth proportional to 153,652, 230,516.88 and 42,844 is: 64,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,652 : 230,516.88 = 42,844 : x
  2. Step 2: Convert to fraction form
    153,652/230,516.88 = 42,844/x
  3. Step 3: Cross multiply
    153,652x = 230,516.88 × 42,844
  4. Step 4: Simplify right side
    153,652x = 9,876,265,206.72
  5. Step 5: Solve for x
    x = 9,876,265,206.72/153,652
  6. Step 6: Final answer
    x = 64,276.84

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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.