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Finding the Fourth Proportional to 152,271.84, 228,414.16 and 47,092.80

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Solution

The fourth proportional to 152,271.84, 228,414.16 and 47,092.80 is: 70,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,271.84 : 228,414.16 = 47,092.80 : x
  2. Step 2: Convert to fraction form
    152,271.84/228,414.16 = 47,092.80/x
  3. Step 3: Cross multiply
    152,271.84x = 228,414.16 × 47,092.80
  4. Step 4: Simplify right side
    152,271.84x = 10,756,662,354.05
  5. Step 5: Solve for x
    x = 10,756,662,354.05/152,271.84
  6. Step 6: Final answer
    x = 70,641.18

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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.