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Finding the Fourth Proportional to 281,210.10, 421,852.15 and 103,841.70

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Solution

The fourth proportional to 281,210.10, 421,852.15 and 103,841.70 is: 155,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,210.10 : 421,852.15 = 103,841.70 : x
  2. Step 2: Convert to fraction form
    281,210.10/421,852.15 = 103,841.70/x
  3. Step 3: Cross multiply
    281,210.10x = 421,852.15 × 103,841.70
  4. Step 4: Simplify right side
    281,210.10x = 43,805,844,404.66
  5. Step 5: Solve for x
    x = 43,805,844,404.66/281,210.10
  6. Step 6: Final answer
    x = 155,776.21

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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.