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Finding the Fourth Proportional to 133,670.31, 200,491.34 and 70,465.11

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Solution

The fourth proportional to 133,670.31, 200,491.34 and 70,465.11 is: 105,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,670.31 : 200,491.34 = 70,465.11 : x
  2. Step 2: Convert to fraction form
    133,670.31/200,491.34 = 70,465.11/x
  3. Step 3: Cross multiply
    133,670.31x = 200,491.34 × 70,465.11
  4. Step 4: Simplify right side
    133,670.31x = 14,127,643,974.82
  5. Step 5: Solve for x
    x = 14,127,643,974.82/133,670.31
  6. Step 6: Final answer
    x = 105,690.22

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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.