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Finding the Fourth Proportional to 197,006.64, 295,515.72 and 77,058.78

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Solution

The fourth proportional to 197,006.64, 295,515.72 and 77,058.78 is: 115,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,006.64 : 295,515.72 = 77,058.78 : x
  2. Step 2: Convert to fraction form
    197,006.64/295,515.72 = 77,058.78/x
  3. Step 3: Cross multiply
    197,006.64x = 295,515.72 × 77,058.78
  4. Step 4: Simplify right side
    197,006.64x = 22,772,080,854.02
  5. Step 5: Solve for x
    x = 22,772,080,854.02/197,006.64
  6. Step 6: Final answer
    x = 115,590.42

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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.