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Finding the Fourth Proportional to 288,656.80, 433,088.88 and 130,767.52

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Solution

The fourth proportional to 288,656.80, 433,088.88 and 130,767.52 is: 196,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,656.80 : 433,088.88 = 130,767.52 : x
  2. Step 2: Convert to fraction form
    288,656.80/433,088.88 = 130,767.52/x
  3. Step 3: Cross multiply
    288,656.80x = 433,088.88 × 130,767.52
  4. Step 4: Simplify right side
    288,656.80x = 56,633,958,777.18
  5. Step 5: Solve for x
    x = 56,633,958,777.18/288,656.80
  6. Step 6: Final answer
    x = 196,198.25

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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.