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Finding the Fourth Proportional to 133,491, 200,080.98 and 74,298.36

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Solution

The fourth proportional to 133,491, 200,080.98 and 74,298.36 is: 111,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,491 : 200,080.98 = 74,298.36 : x
  2. Step 2: Convert to fraction form
    133,491/200,080.98 = 74,298.36/x
  3. Step 3: Cross multiply
    133,491x = 200,080.98 × 74,298.36
  4. Step 4: Simplify right side
    133,491x = 14,865,688,681.19
  5. Step 5: Solve for x
    x = 14,865,688,681.19/133,491
  6. Step 6: Final answer
    x = 111,360.98

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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.