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Finding the Fourth Proportional to 228,468.75, 314,723.52 and 194,368.02

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Solution

The fourth proportional to 228,468.75, 314,723.52 and 194,368.02 is: 267,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,468.75 : 314,723.52 = 194,368.02 : x
  2. Step 2: Convert to fraction form
    228,468.75/314,723.52 = 194,368.02/x
  3. Step 3: Cross multiply
    228,468.75x = 314,723.52 × 194,368.02
  4. Step 4: Simplify right side
    228,468.75x = 61,172,187,429.83
  5. Step 5: Solve for x
    x = 61,172,187,429.83/228,468.75
  6. Step 6: Final answer
    x = 267,748.60

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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.