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Finding the Fourth Proportional to 235,468.80, 353,173.08 and 77,658.12

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Solution

The fourth proportional to 235,468.80, 353,173.08 and 77,658.12 is: 116,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,468.80 : 353,173.08 = 77,658.12 : x
  2. Step 2: Convert to fraction form
    235,468.80/353,173.08 = 77,658.12/x
  3. Step 3: Cross multiply
    235,468.80x = 353,173.08 × 77,658.12
  4. Step 4: Simplify right side
    235,468.80x = 27,426,757,427.41
  5. Step 5: Solve for x
    x = 27,426,757,427.41/235,468.80
  6. Step 6: Final answer
    x = 116,477.25

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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.