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Finding the Fourth Proportional to 200,022.60, 300,077.10 and 59,795.40

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Solution

The fourth proportional to 200,022.60, 300,077.10 and 59,795.40 is: 89,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,022.60 : 300,077.10 = 59,795.40 : x
  2. Step 2: Convert to fraction form
    200,022.60/300,077.10 = 59,795.40/x
  3. Step 3: Cross multiply
    200,022.60x = 300,077.10 × 59,795.40
  4. Step 4: Simplify right side
    200,022.60x = 17,943,230,225.34
  5. Step 5: Solve for x
    x = 17,943,230,225.34/200,022.60
  6. Step 6: Final answer
    x = 89,706.01

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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.