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Finding the Fourth Proportional to 200,736.19, 301,478.57 and 176,729.01

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Solution

The fourth proportional to 200,736.19, 301,478.57 and 176,729.01 is: 265,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,736.19 : 301,478.57 = 176,729.01 : x
  2. Step 2: Convert to fraction form
    200,736.19/301,478.57 = 176,729.01/x
  3. Step 3: Cross multiply
    200,736.19x = 301,478.57 × 176,729.01
  4. Step 4: Simplify right side
    200,736.19x = 53,280,009,212.32
  5. Step 5: Solve for x
    x = 53,280,009,212.32/200,736.19
  6. Step 6: Final answer
    x = 265,423.04

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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.