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Finding the Fourth Proportional to 281,269.39, 388,152.77 and 152,207.85

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Solution

The fourth proportional to 281,269.39, 388,152.77 and 152,207.85 is: 210,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,269.39 : 388,152.77 = 152,207.85 : x
  2. Step 2: Convert to fraction form
    281,269.39/388,152.77 = 152,207.85/x
  3. Step 3: Cross multiply
    281,269.39x = 388,152.77 × 152,207.85
  4. Step 4: Simplify right side
    281,269.39x = 59,079,898,973.76
  5. Step 5: Solve for x
    x = 59,079,898,973.76/281,269.39
  6. Step 6: Final answer
    x = 210,047.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.