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Finding the Fourth Proportional to 291,665.76, 437,544.54 and 102,184.08

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Solution

The fourth proportional to 291,665.76, 437,544.54 and 102,184.08 is: 153,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,665.76 : 437,544.54 = 102,184.08 : x
  2. Step 2: Convert to fraction form
    291,665.76/437,544.54 = 102,184.08/x
  3. Step 3: Cross multiply
    291,665.76x = 437,544.54 × 102,184.08
  4. Step 4: Simplify right side
    291,665.76x = 44,710,086,278.92
  5. Step 5: Solve for x
    x = 44,710,086,278.92/291,665.76
  6. Step 6: Final answer
    x = 153,292.20

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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.