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Finding the Fourth Proportional to 133,477.70, 200,157.51 and 39,966.02

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Solution

The fourth proportional to 133,477.70, 200,157.51 and 39,966.02 is: 59,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,477.70 : 200,157.51 = 39,966.02 : x
  2. Step 2: Convert to fraction form
    133,477.70/200,157.51 = 39,966.02/x
  3. Step 3: Cross multiply
    133,477.70x = 200,157.51 × 39,966.02
  4. Step 4: Simplify right side
    133,477.70x = 7,999,499,047.81
  5. Step 5: Solve for x
    x = 7,999,499,047.81/133,477.70
  6. Step 6: Final answer
    x = 59,931.35

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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.