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Finding the Fourth Proportional to 180,661.68, 270,894.78 and 143,461.08

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Solution

The fourth proportional to 180,661.68, 270,894.78 and 143,461.08 is: 215,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,661.68 : 270,894.78 = 143,461.08 : x
  2. Step 2: Convert to fraction form
    180,661.68/270,894.78 = 143,461.08/x
  3. Step 3: Cross multiply
    180,661.68x = 270,894.78 × 143,461.08
  4. Step 4: Simplify right side
    180,661.68x = 38,862,857,705.16
  5. Step 5: Solve for x
    x = 38,862,857,705.16/180,661.68
  6. Step 6: Final answer
    x = 215,114.01

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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.