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Finding the Fourth Proportional to 152,306.40, 228,434.40 and 51,103.20

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Solution

The fourth proportional to 152,306.40, 228,434.40 and 51,103.20 is: 76,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,306.40 : 228,434.40 = 51,103.20 : x
  2. Step 2: Convert to fraction form
    152,306.40/228,434.40 = 51,103.20/x
  3. Step 3: Cross multiply
    152,306.40x = 228,434.40 × 51,103.20
  4. Step 4: Simplify right side
    152,306.40x = 11,673,728,830.08
  5. Step 5: Solve for x
    x = 11,673,728,830.08/152,306.40
  6. Step 6: Final answer
    x = 76,646.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.