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Finding the Fourth Proportional to 160,254, 240,384.24 and 49,446

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Solution

The fourth proportional to 160,254, 240,384.24 and 49,446 is: 74,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,254 : 240,384.24 = 49,446 : x
  2. Step 2: Convert to fraction form
    160,254/240,384.24 = 49,446/x
  3. Step 3: Cross multiply
    160,254x = 240,384.24 × 49,446
  4. Step 4: Simplify right side
    160,254x = 11,886,039,131.04
  5. Step 5: Solve for x
    x = 11,886,039,131.04/160,254
  6. Step 6: Final answer
    x = 74,170.00

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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.