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Finding the Fourth Proportional to 291,894.93, 437,895.32 and 132,046.16

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Solution

The fourth proportional to 291,894.93, 437,895.32 and 132,046.16 is: 198,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,894.93 : 437,895.32 = 132,046.16 : x
  2. Step 2: Convert to fraction form
    291,894.93/437,895.32 = 132,046.16/x
  3. Step 3: Cross multiply
    291,894.93x = 437,895.32 × 132,046.16
  4. Step 4: Simplify right side
    291,894.93x = 57,822,392,638.26
  5. Step 5: Solve for x
    x = 57,822,392,638.26/291,894.93
  6. Step 6: Final answer
    x = 198,093.17

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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.