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Finding the Fourth Proportional to 281,141.76, 387,972.06 and 160,279.08

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Solution

The fourth proportional to 281,141.76, 387,972.06 and 160,279.08 is: 221,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,141.76 : 387,972.06 = 160,279.08 : x
  2. Step 2: Convert to fraction form
    281,141.76/387,972.06 = 160,279.08/x
  3. Step 3: Cross multiply
    281,141.76x = 387,972.06 × 160,279.08
  4. Step 4: Simplify right side
    281,141.76x = 62,183,804,842.50
  5. Step 5: Solve for x
    x = 62,183,804,842.50/281,141.76
  6. Step 6: Final answer
    x = 221,183.10

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1.5x scale

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.