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Finding the Fourth Proportional to 197,152.24, 295,813.08 and 64,073.28

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Solution

The fourth proportional to 197,152.24, 295,813.08 and 64,073.28 is: 96,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,152.24 : 295,813.08 = 64,073.28 : x
  2. Step 2: Convert to fraction form
    197,152.24/295,813.08 = 64,073.28/x
  3. Step 3: Cross multiply
    197,152.24x = 295,813.08 × 64,073.28
  4. Step 4: Simplify right side
    197,152.24x = 18,953,714,302.50
  5. Step 5: Solve for x
    x = 18,953,714,302.50/197,152.24
  6. Step 6: Final answer
    x = 96,137.45

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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.