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Finding the Fourth Proportional to 199,765.32, 275,731.74 and 114,909.72

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Solution

The fourth proportional to 199,765.32, 275,731.74 and 114,909.72 is: 158,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,765.32 : 275,731.74 = 114,909.72 : x
  2. Step 2: Convert to fraction form
    199,765.32/275,731.74 = 114,909.72/x
  3. Step 3: Cross multiply
    199,765.32x = 275,731.74 × 114,909.72
  4. Step 4: Simplify right side
    199,765.32x = 31,684,257,038.51
  5. Step 5: Solve for x
    x = 31,684,257,038.51/199,765.32
  6. Step 6: Final answer
    x = 158,607.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.