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Finding the Fourth Proportional to 152,706.28, 228,871.12 and 110,730.48

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Solution

The fourth proportional to 152,706.28, 228,871.12 and 110,730.48 is: 165,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,706.28 : 228,871.12 = 110,730.48 : x
  2. Step 2: Convert to fraction form
    152,706.28/228,871.12 = 110,730.48/x
  3. Step 3: Cross multiply
    152,706.28x = 228,871.12 × 110,730.48
  4. Step 4: Simplify right side
    152,706.28x = 25,343,008,975.74
  5. Step 5: Solve for x
    x = 25,343,008,975.74/152,706.28
  6. Step 6: Final answer
    x = 165,959.18

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Why These Related Problems?

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