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Finding the Fourth Proportional to 133,641.18, 200,248.53 and 97,937.03

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Solution

The fourth proportional to 133,641.18, 200,248.53 and 97,937.03 is: 146,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,641.18 : 200,248.53 = 97,937.03 : x
  2. Step 2: Convert to fraction form
    133,641.18/200,248.53 = 97,937.03/x
  3. Step 3: Cross multiply
    133,641.18x = 200,248.53 × 97,937.03
  4. Step 4: Simplify right side
    133,641.18x = 19,611,745,288.82
  5. Step 5: Solve for x
    x = 19,611,745,288.82/133,641.18
  6. Step 6: Final answer
    x = 146,749.27

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1.5x scale

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.