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Finding the Fourth Proportional to 133,477.80, 200,210.45 and 38,705.10

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Solution

The fourth proportional to 133,477.80, 200,210.45 and 38,705.10 is: 58,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,477.80 : 200,210.45 = 38,705.10 : x
  2. Step 2: Convert to fraction form
    133,477.80/200,210.45 = 38,705.10/x
  3. Step 3: Cross multiply
    133,477.80x = 200,210.45 × 38,705.10
  4. Step 4: Simplify right side
    133,477.80x = 7,749,165,294.77
  5. Step 5: Solve for x
    x = 7,749,165,294.77/133,477.80
  6. Step 6: Final answer
    x = 58,055.84

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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.