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Finding the Fourth Proportional to 235,435.76, 353,197.08 and 77,675.12

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Solution

The fourth proportional to 235,435.76, 353,197.08 and 77,675.12 is: 116,527.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,435.76 : 353,197.08 = 77,675.12 : x
  2. Step 2: Convert to fraction form
    235,435.76/353,197.08 = 77,675.12/x
  3. Step 3: Cross multiply
    235,435.76x = 353,197.08 × 77,675.12
  4. Step 4: Simplify right side
    235,435.76x = 27,434,625,572.65
  5. Step 5: Solve for x
    x = 27,434,625,572.65/235,435.76
  6. Step 6: Final answer
    x = 116,527.01

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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.