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Finding the Fourth Proportional to 133,590, 184,354.20 and 73,974

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Solution

The fourth proportional to 133,590, 184,354.20 and 73,974 is: 102,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,590 : 184,354.20 = 73,974 : x
  2. Step 2: Convert to fraction form
    133,590/184,354.20 = 73,974/x
  3. Step 3: Cross multiply
    133,590x = 184,354.20 × 73,974
  4. Step 4: Simplify right side
    133,590x = 13,637,417,590.80
  5. Step 5: Solve for x
    x = 13,637,417,590.80/133,590
  6. Step 6: Final answer
    x = 102,084.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.