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Finding the Fourth Proportional to 133,037.10, 199,069.65 and 98,045.10

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Solution

The fourth proportional to 133,037.10, 199,069.65 and 98,045.10 is: 146,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,037.10 : 199,069.65 = 98,045.10 : x
  2. Step 2: Convert to fraction form
    133,037.10/199,069.65 = 98,045.10/x
  3. Step 3: Cross multiply
    133,037.10x = 199,069.65 × 98,045.10
  4. Step 4: Simplify right side
    133,037.10x = 19,517,803,741.22
  5. Step 5: Solve for x
    x = 19,517,803,741.22/133,037.10
  6. Step 6: Final answer
    x = 146,709.48

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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.