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Finding the Fourth Proportional to 152,344.32, 228,544.32 and 47,156.16

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Solution

The fourth proportional to 152,344.32, 228,544.32 and 47,156.16 is: 70,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,344.32 : 228,544.32 = 47,156.16 : x
  2. Step 2: Convert to fraction form
    152,344.32/228,544.32 = 47,156.16/x
  3. Step 3: Cross multiply
    152,344.32x = 228,544.32 × 47,156.16
  4. Step 4: Simplify right side
    152,344.32x = 10,777,272,521.01
  5. Step 5: Solve for x
    x = 10,777,272,521.01/152,344.32
  6. Step 6: Final answer
    x = 70,742.86

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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.