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Finding the Fourth Proportional to 160,106.84, 240,151.59 and 81,219.02

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Solution

The fourth proportional to 160,106.84, 240,151.59 and 81,219.02 is: 121,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,106.84 : 240,151.59 = 81,219.02 : x
  2. Step 2: Convert to fraction form
    160,106.84/240,151.59 = 81,219.02/x
  3. Step 3: Cross multiply
    160,106.84x = 240,151.59 × 81,219.02
  4. Step 4: Simplify right side
    160,106.84x = 19,504,875,590.48
  5. Step 5: Solve for x
    x = 19,504,875,590.48/160,106.84
  6. Step 6: Final answer
    x = 121,824.13

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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.