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Finding the Fourth Proportional to 200,735.19, 301,477.07 and 176,728.01

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Solution

The fourth proportional to 200,735.19, 301,477.07 and 176,728.01 is: 265,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,735.19 : 301,477.07 = 176,728.01 : x
  2. Step 2: Convert to fraction form
    200,735.19/301,477.07 = 176,728.01/x
  3. Step 3: Cross multiply
    200,735.19x = 301,477.07 × 176,728.01
  4. Step 4: Simplify right side
    200,735.19x = 53,279,441,576.17
  5. Step 5: Solve for x
    x = 53,279,441,576.17/200,735.19
  6. Step 6: Final answer
    x = 265,421.53

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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.