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Finding the Fourth Proportional to 291,185.04, 436,816 and 101,648.82

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Solution

The fourth proportional to 291,185.04, 436,816 and 101,648.82 is: 152,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,185.04 : 436,816 = 101,648.82 : x
  2. Step 2: Convert to fraction form
    291,185.04/436,816 = 101,648.82/x
  3. Step 3: Cross multiply
    291,185.04x = 436,816 × 101,648.82
  4. Step 4: Simplify right side
    291,185.04x = 44,401,830,957.12
  5. Step 5: Solve for x
    x = 44,401,830,957.12/291,185.04
  6. Step 6: Final answer
    x = 152,486.65

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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.