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Finding the Fourth Proportional to 152,274.84, 228,418.66 and 47,095.80

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Solution

The fourth proportional to 152,274.84, 228,418.66 and 47,095.80 is: 70,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,274.84 : 228,418.66 = 47,095.80 : x
  2. Step 2: Convert to fraction form
    152,274.84/228,418.66 = 47,095.80/x
  3. Step 3: Cross multiply
    152,274.84x = 228,418.66 × 47,095.80
  4. Step 4: Simplify right side
    152,274.84x = 10,757,559,527.63
  5. Step 5: Solve for x
    x = 10,757,559,527.63/152,274.84
  6. Step 6: Final answer
    x = 70,645.68

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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.